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57508472 = 23731157211
BaseRepresentation
bin1101101101100…
…0001001111000
311000012201210102
43123120021320
5104210232342
65412334532
71265546120
oct333301170
9130181712
1057508472
112a509a6a
1217314448
13bbb6ba8
1478cdc80
1550ae832
hex36d8278

57508472 has 64 divisors (see below), whose sum is σ = 128624640. Its totient is φ = 23587200.

The previous prime is 57508463. The next prime is 57508483. The reversal of 57508472 is 27480575.

57508472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 272447 + ... + 272657.

It is an arithmetic number, because the mean of its divisors is an integer number (2009760).

Almost surely, 257508472 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 57508472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64312320).

57508472 is an abundant number, since it is smaller than the sum of its proper divisors (71116168).

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

57508472 is a wasteful number, since it uses less digits than its factorization.

57508472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 38.

The square root of 57508472 is about 7583.4340506132. The cubic root of 57508472 is about 385.9910868032.

The spelling of 57508472 in words is "fifty-seven million, five hundred eight thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 157 211 217 248 314 422 434 628 844 868 1099 1256 1477 1688 1736 2198 2954 4396 4867 5908 6541 8792 9734 11816 13082 19468 26164 33127 34069 38936 45787 52328 66254 68138 91574 132508 136276 183148 231889 265016 272552 366296 463778 927556 1026937 1855112 2053874 4107748 7188559 8215496 14377118 28754236 57508472