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57116672 = 2111672
BaseRepresentation
bin1101100111100…
…0100000000000
310222110211100022
43121320200000
5104110213142
65400113012
71262324624
oct331704000
9128424308
1057116672
112a271668
1217165768
13baaa762
14782b184
1550336d2
hex3678800

57116672 has 36 divisors (see below), whose sum is σ = 114893415. Its totient is φ = 28387328.

The previous prime is 57116627. The next prime is 57116681. The reversal of 57116672 is 27661175.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 28558336 + 28558336 = 5344^2 + 5344^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5344.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 341933 + ... + 342099.

Almost surely, 257116672 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 57116672

57116672 is an abundant number, since it is smaller than the sum of its proper divisors (57776743).

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

57116672 is an frugal number, since it uses more digits than its factorization.

57116672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 169 counting only the distinct ones).

The product of its digits is 17640, while the sum is 35.

The square root of 57116672 is about 7557.5572773218. The cubic root of 57116672 is about 385.1125144810.

The spelling of 57116672 in words is "fifty-seven million, one hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 167 256 334 512 668 1024 1336 2048 2672 5344 10688 21376 27889 42752 55778 85504 111556 171008 223112 342016 446224 892448 1784896 3569792 7139584 14279168 28558336 57116672