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57121376 = 2513612251
BaseRepresentation
bin1101100111100…
…1101001100000
310222111001210112
43121321221200
5104110341001
65400150452
71262344424
oct331715140
9128431715
1057121376
112a275154
1217168428
13baac940
14782cb84
155034cbb
hex3679a60

57121376 has 48 divisors (see below), whose sum is σ = 123148368. Its totient is φ = 25920000.

The previous prime is 57121367. The next prime is 57121409. The reversal of 57121376 is 67312175.

57121376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×571213762 = 6525703192266752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 24251 + ... + 26501.

It is an arithmetic number, because the mean of its divisors is an integer number (2565591).

Almost surely, 257121376 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 57121376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61574184).

57121376 is an abundant number, since it is smaller than the sum of its proper divisors (66026992).

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

57121376 is a wasteful number, since it uses less digits than its factorization.

57121376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2327 counting only the distinct ones).

The product of its digits is 8820, while the sum is 32.

The square root of 57121376 is about 7557.8684825816. The cubic root of 57121376 is about 385.1230865228.

The spelling of 57121376 in words is "fifty-seven million, one hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 976 1586 1952 2251 3172 4502 6344 9004 12688 18008 25376 29263 36016 58526 72032 117052 137311 234104 274622 468208 549244 936416 1098488 1785043 2196976 3570086 4393952 7140172 14280344 28560688 57121376