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57315104 = 2572113323
BaseRepresentation
bin1101101010100…
…0111100100000
310222211220112122
43122220330200
5104133040404
65404243412
71264112300
oct332507440
9128756478
1057315104
112a397760
1217240568
13bb49b82
14787d600
1550723be
hex36a8f20

57315104 has 72 divisors (see below), whose sum is σ = 143237808. Its totient is φ = 22323840.

The previous prime is 57315079. The next prime is 57315113. The reversal of 57315104 is 40151375.

It is a super-2 number, since 2×573151042 = 6570042293061632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15587 + ... + 18909.

It is an arithmetic number, because the mean of its divisors is an integer number (1989414).

Almost surely, 257315104 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 57315104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71618904).

57315104 is an abundant number, since it is smaller than the sum of its proper divisors (85922704).

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

57315104 is a wasteful number, since it uses less digits than its factorization.

57315104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 57315104 is about 7570.6739462217. The cubic root of 57315104 is about 385.5579788119.

Adding to 57315104 its reverse (40151375), we get a palindrome (97466479).

The spelling of 57315104 in words is "fifty-seven million, three hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 3323 4312 6646 8624 13292 17248 23261 26584 36553 46522 53168 73106 93044 106336 146212 162827 186088 255871 292424 325654 372176 511742 584848 651308 744352 1023484 1169696 1302616 1791097 2046968 2605232 3582194 4093936 5210464 7164388 8187872 14328776 28657552 57315104