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57972996 = 2238472
BaseRepresentation
bin1101110100100…
…1100100000100
311001002100000000
43131021210010
5104320113441
65430321300
71302522324
oct335114404
9131070000
1057972996
112a7a6a74
12174b9230
13c01a463
1479b1284
1551522b6
hex3749904

57972996 has 81 divisors (see below), whose sum is σ = 155477959. Its totient is φ = 18913176.

The previous prime is 57972989. The next prime is 57973031. The reversal of 57972996 is 69927975.

The square root of 57972996 is 7614.

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

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1233445 + ... + 1233491.

Almost surely, 257972996 is an apocalyptic number.

57972996 is the 7614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57972996

57972996 is an abundant number, since it is smaller than the sum of its proper divisors (97504963).

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

57972996 is an frugal number, since it uses more digits than its factorization.

57972996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 52 counting only the distinct ones).

The product of its digits is 2143260, while the sum is 54.

The cubic root of 57972996 is about 387.0275805114.

The spelling of 57972996 in words is "fifty-seven million, nine hundred seventy-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 243 282 324 423 486 564 729 846 972 1269 1458 1692 2187 2209 2538 2916 3807 4374 4418 5076 6561 6627 7614 8748 8836 11421 13122 13254 15228 19881 22842 26244 26508 34263 39762 45684 59643 68526 79524 102789 119286 137052 178929 205578 238572 308367 357858 411156 536787 616734 715716 1073574 1233468 1610361 2147148 3220722 4831083 6441444 9662166 14493249 19324332 28986498 57972996