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1055764736 = 28131718661
BaseRepresentation
bin111110111011011…
…011000100000000
32201120121101221122
4332323123010000
54130233432421
6252432411412
735106565205
oct7673330400
92646541848
101055764736
114a1a51744
122556a6b68
1313a963480
14a0305cac
1562a492ab
hex3eedb100

1055764736 has 72 divisors (see below), whose sum is σ = 2403143064. Its totient is φ = 458588160.

The previous prime is 1055764727. The next prime is 1055764757. The reversal of 1055764736 is 6374675501.

1055764736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11182336 + 1044582400 = 3344^2 + 32320^2 .

It is a super-2 number, since 2×10557647362 = 2229278355562299392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47246 + ... + 65906.

It is an arithmetic number, because the mean of its divisors is an integer number (33376987).

Almost surely, 21055764736 is an apocalyptic number.

1055764736 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 1055764736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201571532).

1055764736 is an abundant number, since it is smaller than the sum of its proper divisors (1347378328).

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

1055764736 is a wasteful number, since it uses less digits than its factorization.

1055764736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18707 (or 18693 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 44.

The square root of 1055764736 is about 32492.5335423386. The cubic root of 1055764736 is about 1018.2530445535.

The spelling of 1055764736 in words is "one billion, fifty-five million, seven hundred sixty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 544 832 884 1088 1664 1768 2176 3328 3536 4352 7072 14144 18661 28288 37322 56576 74644 149288 242593 298576 317237 485186 597152 634474 970372 1194304 1268948 1940744 2388608 2537896 3881488 4124081 4777216 5075792 7762976 8248162 10151584 15525952 16496324 20303168 31051904 32992648 40606336 62103808 65985296 81212672 131970592 263941184 527882368 1055764736