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57492530176 = 2105921272
BaseRepresentation
bin110101100010110100…
…100110010000000000
312111101202100010210111
4311202310212100000
51420221041431201
642224532241104
74103501305024
oct654264462000
9174352303714
1057492530176
1122423041954
12b186170194
135563113a33
142ad585a384
15176754db51
hexd62d26400

57492530176 has 99 divisors (see below), whose sum is σ = 117837677739. Its totient is φ = 28036528128.

The previous prime is 57492530171. The next prime is 57492530177. The reversal of 57492530176 is 67103529475.

The square root of 57492530176 is 239776.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57492530171) 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 8 ways as a sum of consecutive naturals, for example, 452697025 + ... + 452697151.

Almost surely, 257492530176 is an apocalyptic number.

57492530176 is the 239776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57492530176

57492530176 is an abundant number, since it is smaller than the sum of its proper divisors (60345147563).

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

57492530176 is an frugal number, since it uses more digits than its factorization.

57492530176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 49.

Multiplying 57492530176 by its sum of digits (49), we get a square (2817133978624 = 16784322).

The spelling of 57492530176 in words is "fifty-seven billion, four hundred ninety-two million, five hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 59 64 118 127 128 236 254 256 472 508 512 944 1016 1024 1888 2032 3481 3776 4064 6962 7493 7552 8128 13924 14986 15104 16129 16256 27848 29972 30208 32258 32512 55696 59944 60416 64516 65024 111392 119888 129032 130048 222784 239776 258064 442087 445568 479552 516128 884174 891136 951611 959104 1032256 1768348 1782272 1903222 1918208 2064512 3536696 3564544 3806444 3836416 4129024 7073392 7612888 7672832 8258048 14146784 15225776 16516096 28293568 30451552 56145049 56587136 60903104 112290098 113174272 121806208 224580196 226348544 243612416 449160392 452697088 487224832 898320784 974449664 1796641568 3593283136 7186566272 14373132544 28746265088 57492530176