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5429182440 = 2335114787511
BaseRepresentation
bin1010000111001101…
…01011111111101000
3112000100222001012010
411003212223333220
542104332314230
62254422115520
7251353201143
oct50346537750
915010861163
105429182440
1123366a5140
12107627bba0
13686a49cb6
143970a105a
1521b9819b0
hex1439abfe8

5429182440 has 128 divisors (see below), whose sum is σ = 18146488320. Its totient is φ = 1288147200.

The previous prime is 5429182411. The next prime is 5429182463. The reversal of 5429182440 is 442819245.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18285 + ... + 105795.

It is an arithmetic number, because the mean of its divisors is an integer number (141769440).

Almost surely, 25429182440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5429182440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9073244160).

5429182440 is an abundant number, since it is smaller than the sum of its proper divisors (12717305880).

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

5429182440 is a wasteful number, since it uses less digits than its factorization.

5429182440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87583 (or 87579 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 5429182440 is about 73682.9860958417. The cubic root of 5429182440 is about 1757.5653362570.

The spelling of 5429182440 in words is "five billion, four hundred twenty-nine million, one hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 47 55 60 66 88 94 110 120 132 141 165 188 220 235 264 282 330 376 440 470 517 564 660 705 940 1034 1128 1320 1410 1551 1880 2068 2585 2820 3102 4136 5170 5640 6204 7755 10340 12408 15510 20680 31020 62040 87511 175022 262533 350044 437555 525066 700088 875110 962621 1050132 1312665 1750220 1925242 2100264 2625330 2887863 3500440 3850484 4113017 4813105 5250660 5775726 7700968 8226034 9626210 10501320 11551452 12339051 14439315 16452068 19252420 20565085 23102904 24678102 28878630 32904136 38504840 41130170 45243187 49356204 57757260 61695255 82260340 90486374 98712408 115514520 123390510 135729561 164520680 180972748 226215935 246781020 271459122 361945496 452431870 493562040 542918244 678647805 904863740 1085836488 1357295610 1809727480 2714591220 5429182440