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2047947440 = 2457113111069
BaseRepresentation
bin111101000010001…
…0011001010110000
312021201120111202012
41322010103022300
513143233304230
6535114342052
7101515160150
oct17204231260
95251514665
102047947440
11961016250
12491a2a928
13268394426
14155dba760
15bebd4395
hex7a1132b0

2047947440 has 160 divisors (see below), whose sum is σ = 5961047040. Its totient is φ = 635673600.

The previous prime is 2047947431. The next prime is 2047947443. The reversal of 2047947440 is 447497402.

It is not an unprimeable number, because it can be changed into a prime (2047947443) 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 31 ways as a sum of consecutive naturals, for example, 1915226 + ... + 1916294.

It is an arithmetic number, because the mean of its divisors is an integer number (37256544).

Almost surely, 22047947440 is an apocalyptic number.

2047947440 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 2047947440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980523520).

2047947440 is an abundant number, since it is smaller than the sum of its proper divisors (3913099600).

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

2047947440 is a wasteful number, since it uses less digits than its factorization.

2047947440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The square root of 2047947440 is about 45254.2532807691. The cubic root of 2047947440 is about 1269.9099777057.

The spelling of 2047947440 in words is "two billion, forty-seven million, nine hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 311 385 440 560 616 622 770 880 1069 1232 1244 1540 1555 2138 2177 2488 3080 3110 3421 4276 4354 4976 5345 6160 6220 6842 7483 8552 8708 10690 10885 11759 12440 13684 14966 17104 17105 17416 21380 21770 23518 23947 24880 27368 29932 34210 34832 37415 42760 43540 47036 47894 54736 58795 59864 68420 74830 82313 85520 87080 94072 95788 117590 119728 119735 136840 149660 164626 174160 188144 191576 235180 239470 273680 299320 329252 332459 383152 411565 470360 478940 598640 658504 664918 823130 940720 957880 1317008 1329836 1646260 1662295 1915760 2327213 2659672 3292520 3324590 3657049 4654426 5319344 6585040 6649180 7314098 9308852 11636065 13298360 14628196 18285245 18617704 23272130 25599343 26596720 29256392 36570490 37235408 46544260 51198686 58512784 73140980 93088520 102397372 127996715 146281960 186177040 204794744 255993430 292563920 409589488 511986860 1023973720 2047947440