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1057025376 = 253411131283
BaseRepresentation
bin111111000000001…
…110110101100000
32201122222110020000
4333000032311200
54131044303001
6252515420000
735123365431
oct7700166540
92648873200
101057025376
114a27328a0
12255bb4600
1313acb5204
14a0553488
1562be7a86
hex3f00ed60

1057025376 has 240 divisors, whose sum is σ = 3429252288. Its totient is φ = 316742400.

The previous prime is 1057025369. The next prime is 1057025381. The reversal of 1057025376 is 6735207501.

1057025376 is a `hidden beast` number, since 10 + 570 + 2 + 5 + 3 + 76 = 666.

It is a super-2 number, since 2×10570253762 = 2234605291015882752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1057025376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3734931 + ... + 3735213.

Almost surely, 21057025376 is an apocalyptic number.

1057025376 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 1057025376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714626144).

1057025376 is an abundant number, since it is smaller than the sum of its proper divisors (2372226912).

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

1057025376 is a wasteful number, since it uses less digits than its factorization.

1057025376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 1057025376 is about 32511.9266731457. The cubic root of 1057025376 is about 1018.6581663566.

The spelling of 1057025376 in words is "one billion, fifty-seven million, twenty-five thousand, three hundred seventy-six".