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57122037 = 3371915907
BaseRepresentation
bin1101100111100…
…1110011110101
310222111002201000
43121321303311
5104110401122
65400153513
71262346360
oct331716365
9128432630
1057122037
112a2756a5
1217168899
13bab002b
14782d0d7
1550350ac
hex3679cf5

57122037 has 32 divisors (see below), whose sum is σ = 101811200. Its totient is φ = 30921264.

The previous prime is 57121993. The next prime is 57122059. The reversal of 57122037 is 73022175.

It is not a de Polignac number, because 57122037 - 26 = 57121973 is a prime.

It is a super-2 number, since 2×571220372 = 6525854222058738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57122037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57122077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4363 + ... + 11544.

It is an arithmetic number, because the mean of its divisors is an integer number (3181600).

Almost surely, 257122037 is an apocalyptic number.

57122037 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

57122037 is a deficient number, since it is larger than the sum of its proper divisors (44689163).

57122037 is a wasteful number, since it uses less digits than its factorization.

57122037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15942 (or 15936 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 57122037 is about 7557.9122117156. The cubic root of 57122037 is about 385.1245720460.

The spelling of 57122037 in words is "fifty-seven million, one hundred twenty-two thousand, thirty-seven".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 3591 15907 47721 111349 143163 302233 334047 429489 906699 1002141 2115631 2720097 3006423 6346893 8160291 19040679 57122037