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57399216 = 24371391229
BaseRepresentation
bin1101101011110…
…1011110110000
311000000011220220
43122331132300
5104143233331
65410133040
71264612440
oct332753660
9130004826
1057399216
112a444976
1217281180
13bb79244
1478a2120
15508c296
hex36bd7b0

57399216 has 80 divisors (see below), whose sum is σ = 170822400. Its totient is φ = 16268544.

The previous prime is 57399203. The next prime is 57399217. The reversal of 57399216 is 61299375.

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

It is not an unprimeable number, because it can be changed into a prime (57399217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46090 + ... + 47318.

It is an arithmetic number, because the mean of its divisors is an integer number (2135280).

Almost surely, 257399216 is an apocalyptic number.

57399216 is a gapful number since it is divisible by the number (56) 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 57399216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85411200).

57399216 is an abundant number, since it is smaller than the sum of its proper divisors (113423184).

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

57399216 is a wasteful number, since it uses less digits than its factorization.

57399216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1380 counting only the distinct ones).

The product of its digits is 102060, while the sum is 42.

The square root of 57399216 is about 7576.2270293333. The cubic root of 57399216 is about 385.7464934109.

The spelling of 57399216 in words is "fifty-seven million, three hundred ninety-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 139 168 278 336 417 556 834 973 1112 1229 1668 1946 2224 2458 2919 3336 3687 3892 4916 5838 6672 7374 7784 8603 9832 11676 14748 15568 17206 19664 23352 25809 29496 34412 46704 51618 58992 68824 103236 137648 170831 206472 341662 412944 512493 683324 1024986 1195817 1366648 2049972 2391634 2733296 3587451 4099944 4783268 7174902 8199888 9566536 14349804 19133072 28699608 57399216