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57022816 = 2529431429
BaseRepresentation
bin1101100110000…
…1100101100000
310222022001121011
43121201211200
5104044212231
65354110304
71261454164
oct331414540
9128261534
1057022816
112a2080a4
121711b394
13ba76b16
147804ca4
1550159b1
hex3661960

57022816 has 48 divisors (see below), whose sum is σ = 118918800. Its totient is φ = 26869248.

The previous prime is 57022813. The next prime is 57022831. The reversal of 57022816 is 61822075.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57022813) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 39190 + ... + 40618.

It is an arithmetic number, because the mean of its divisors is an integer number (2477475).

Almost surely, 257022816 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 57022816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59459400).

57022816 is an abundant number, since it is smaller than the sum of its proper divisors (61895984).

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

57022816 is a wasteful number, since it uses less digits than its factorization.

57022816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 57022816 is about 7551.3453106053. The cubic root of 57022816 is about 384.9014556356.

The spelling of 57022816 in words is "fifty-seven million, twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 29 32 43 58 86 116 172 232 344 464 688 928 1247 1376 1429 2494 2858 4988 5716 9976 11432 19952 22864 39904 41441 45728 61447 82882 122894 165764 245788 331528 491576 663056 983152 1326112 1781963 1966304 3563926 7127852 14255704 28511408 57022816