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57516396 = 22372293373
BaseRepresentation
bin1101101101101…
…0000101101100
311000020010122220
43123122011230
5104211011041
65412435340
71265611200
oct333320554
9130203586
1057516396
112a514a13
1217318b50
13bbba692
1478d2b00
1550b1d66
hex36da16c

57516396 has 72 divisors (see below), whose sum is σ = 161547120. Its totient is φ = 15861888.

The previous prime is 57516341. The next prime is 57516419. The reversal of 57516396 is 69361575.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15366 + ... + 18738.

It is an arithmetic number, because the mean of its divisors is an integer number (2243710).

Almost surely, 257516396 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 57516396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80773560).

57516396 is an abundant number, since it is smaller than the sum of its proper divisors (104030724).

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

57516396 is a wasteful number, since it uses less digits than its factorization.

57516396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3414 counting only the distinct ones).

The product of its digits is 170100, while the sum is 42.

The square root of 57516396 is about 7583.9564872169. The cubic root of 57516396 is about 386.0088143530.

The spelling of 57516396 in words is "fifty-seven million, five hundred sixteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1421 2436 2842 3373 4263 5684 6746 8526 10119 13492 17052 20238 23611 40476 47222 70833 94444 97817 141666 165277 195634 283332 293451 330554 391268 495831 586902 661108 684719 991662 1173804 1369438 1983324 2054157 2738876 4108314 4793033 8216628 9586066 14379099 19172132 28758198 57516396