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57110628 = 2232925659
BaseRepresentation
bin1101100111011…
…1000001100100
310222110112001110
43121313001210
5104110020003
65400025020
71262301201
oct331670144
9128415043
1057110628
112a268073
1217162170
13baa7a93
147828ca8
155031a03
hex3677064

57110628 has 36 divisors (see below), whose sum is σ = 138036080. Its totient is φ = 18377184.

The previous prime is 57110623. The next prime is 57110653. The reversal of 57110628 is 82601175.

57110628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57110595 and 57110604.

It is not an unprimeable number, because it can be changed into a prime (57110621) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7263 + ... + 12921.

Almost surely, 257110628 is an apocalyptic number.

57110628 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57110628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69018040).

57110628 is an abundant number, since it is smaller than the sum of its proper divisors (80925452).

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

57110628 is a wasteful number, since it uses less digits than its factorization.

57110628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 57110628 is about 7557.1574020924. The cubic root of 57110628 is about 385.0989299935.

It can be divided in two parts, 57 and 110628, that added together give a triangular number (110685 = T470).

The spelling of 57110628 in words is "fifty-seven million, one hundred ten thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 841 1682 2523 3364 5046 5659 10092 11318 16977 22636 33954 67908 164111 328222 492333 656444 984666 1969332 4759219 9518438 14277657 19036876 28555314 57110628