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2980252440 = 233451183621
BaseRepresentation
bin1011000110100011…
…0000101100011000
321200200212111210000
42301220300230120
522100421034230
61211421053000
7133565504424
oct26150605430
97620774700
102980252440
11129a302850
126b20b7160
1338658bca9
14203b45b84
15126992b60
hexb1a30b18

2980252440 has 160 divisors (see below), whose sum is σ = 10927722960. Its totient is φ = 722476800.

The previous prime is 2980252433. The next prime is 2980252447. The reversal of 2980252440 is 442520892.

2980252440 is a `hidden beast` number, since 2 + 98 + 0 + 2 + 524 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2980252433) and next prime (2980252447).

It is a super-2 number, since 2×29802524402 = 17763809212251907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2980252395 and 2980252404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2980252447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6171 + ... + 77450.

Almost surely, 22980252440 is an apocalyptic number.

2980252440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2980252440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463861480).

2980252440 is an abundant number, since it is smaller than the sum of its proper divisors (7947470520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2980252440 is a wasteful number, since it uses less digits than its factorization.

2980252440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83655 (or 83642 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2980252440 is about 54591.6883783603. The cubic root of 2980252440 is about 1439.0780556945.

The spelling of 2980252440 in words is "two billion, nine hundred eighty million, two hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 11880 17820 35640 83621 167242 250863 334484 418105 501726 668968 752589 836210 919831 1003452 1254315 1505178 1672420 1839662 2006904 2257767 2508630 2759493 3010356 3344840 3679324 3762945 4515534 4599155 5017260 5518986 6020712 6773301 7358648 7525890 8278479 9031068 9198310 10034520 11037972 11288835 13546602 13797465 15051780 16556958 18062136 18396620 22075944 22577670 24835437 27093204 27594930 30103560 33113916 33866505 36793240 41392395 45155340 49670874 54186408 55189860 66227832 67733010 74506311 82784790 90310680 99341748 110379720 124177185 135466020 149012622 165569580 198683496 248354370 270932040 298025244 331139160 372531555 496708740 596050488 745063110 993417480 1490126220 2980252440