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1057931856 = 243219419431
BaseRepresentation
bin111111000011101…
…100001001010000
32201201200111200100
4333003230021100
54131312304411
6252551052400
735134162302
oct7703541120
92651614610
101057931856
114a31a1953
12256371100
1313b2419a7
14a070b972
1562d26456
hex3f0ec250

1057931856 has 120 divisors (see below), whose sum is σ = 3192920640. Its totient is φ = 325900800.

The previous prime is 1057931839. The next prime is 1057931867. The reversal of 1057931856 is 6581397501.

It is a happy number.

1057931856 is a `hidden beast` number, since 10 + 579 + 3 + 18 + 56 = 666.

It is a super-2 number, since 2×10579318562 = 2238439623879209472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107461 + ... + 116891.

It is an arithmetic number, because the mean of its divisors is an integer number (26607672).

Almost surely, 21057931856 is an apocalyptic number.

1057931856 is a gapful number since it is divisible by the number (16) 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 1057931856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596460320).

1057931856 is an abundant number, since it is smaller than the sum of its proper divisors (2134988784).

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

1057931856 is a wasteful number, since it uses less digits than its factorization.

1057931856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9505 (or 9496 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 1057931856 is about 32525.8644158768. The cubic root of 1057931856 is about 1018.9492755521.

The spelling of 1057931856 in words is "one billion, fifty-seven million, nine hundred thirty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 41 48 57 72 76 82 114 123 144 152 164 171 228 246 304 328 342 369 456 492 656 684 738 779 912 984 1368 1476 1558 1968 2337 2736 2952 3116 4674 5904 6232 7011 9348 9431 12464 14022 18696 18862 28044 28293 37392 37724 56088 56586 75448 84879 112176 113172 150896 169758 179189 226344 339516 358378 386671 452688 537567 679032 716756 773342 1075134 1160013 1358064 1433512 1546684 1612701 2150268 2320026 2867024 3093368 3225402 3480039 4300536 4640052 6186736 6450804 6960078 7346749 8601072 9280104 12901608 13920156 14693498 18560208 22040247 25803216 27840312 29386996 44080494 55680624 58773992 66120741 88160988 117547984 132241482 176321976 264482964 352643952 528965928 1057931856