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57156516 = 2236171153
BaseRepresentation
bin1101101000001…
…0001110100100
310222112212000000
43122002032210
5104113002031
65401021300
71262552034
oct332021644
9128485000
1057156516
112a29959a
1217184830
13bac2931
14783b8c4
1550403e6
hex36823a4

57156516 has 84 divisors (see below), whose sum is σ = 158926572. Its totient is φ = 17915904.

The previous prime is 57156509. The next prime is 57156521. The reversal of 57156516 is 61565175.

It can be written as a sum of positive squares in 2 ways, for example, as 44836416 + 12320100 = 6696^2 + 3510^2 .

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

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 27 ways as a sum of consecutive naturals, for example, 48996 + ... + 50148.

It is an arithmetic number, because the mean of its divisors is an integer number (1891983).

Almost surely, 257156516 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 57156516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79463286).

57156516 is an abundant number, since it is smaller than the sum of its proper divisors (101770056).

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

57156516 is a wasteful number, since it uses less digits than its factorization.

57156516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1175 counting only the distinct ones).

The product of its digits is 31500, while the sum is 36.

The square root of 57156516 is about 7560.1928546830. The cubic root of 57156516 is about 385.2020438358.

The spelling of 57156516 in words is "fifty-seven million, one hundred fifty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 729 918 972 1153 1377 1458 1836 2306 2754 2916 3459 4131 4612 5508 6918 8262 10377 12393 13836 16524 19601 20754 24786 31131 39202 41508 49572 58803 62262 78404 93393 117606 124524 176409 186786 235212 280179 352818 373572 529227 560358 705636 840537 1058454 1120716 1587681 1681074 2116908 3175362 3362148 4763043 6350724 9526086 14289129 19052172 28578258 57156516