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57060516 = 22323297129
BaseRepresentation
bin1101100110101…
…0110010100100
310222100222022110
43121222302210
5104101414031
65355001020
71262002122
oct331526244
9128328273
1057060516
112a233457
1217139170
13ba8b026
147814912
155021c46
hex366aca4

57060516 has 48 divisors (see below), whose sum is σ = 143740800. Its totient is φ = 17563392.

The previous prime is 57060469. The next prime is 57060529. The reversal of 57060516 is 61506075.

57060516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 4440 + ... + 11568.

It is an arithmetic number, because the mean of its divisors is an integer number (2994600).

Almost surely, 257060516 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 57060516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71870400).

57060516 is an abundant number, since it is smaller than the sum of its proper divisors (86680284).

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

57060516 is a wasteful number, since it uses less digits than its factorization.

57060516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188 (or 7186 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 57060516 is about 7553.8411420945. The cubic root of 57060516 is about 384.9862613864.

The spelling of 57060516 in words is "fifty-seven million, sixty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1334 2001 2668 4002 7129 8004 14258 21387 28516 42774 85548 163967 206741 327934 413482 491901 620223 655868 826964 983802 1240446 1967604 2480892 4755043 9510086 14265129 19020172 28530258 57060516