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57213072 = 24327211269
BaseRepresentation
bin1101101001000…
…0000010010000
310222122201120200
43122100002100
5104121304242
65402135200
71263205650
oct332200220
9128581520
1057213072
112a328034
12171b1500
13bb125b7
147854360
15505204c
hex3690090

57213072 has 120 divisors (see below), whose sum is σ = 184541760. Its totient is φ = 16208640.

The previous prime is 57213043. The next prime is 57213077. The reversal of 57213072 is 27031275.

It is not an unprimeable number, because it can be changed into a prime (57213077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212554 + ... + 212822.

It is an arithmetic number, because the mean of its divisors is an integer number (1537848).

Almost surely, 257213072 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 57213072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92270880).

57213072 is an abundant number, since it is smaller than the sum of its proper divisors (127328688).

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

57213072 is a wasteful number, since it uses less digits than its factorization.

57213072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 57213072 is about 7563.9323106437. The cubic root of 57213072 is about 385.3290535903.

The spelling of 57213072 in words is "fifty-seven million, two hundred thirteen thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 211 252 269 336 422 504 538 633 807 844 1008 1076 1266 1477 1614 1688 1883 1899 2152 2421 2532 2954 3228 3376 3766 3798 4304 4431 4842 5064 5649 5908 6456 7532 7596 8862 9684 10128 11298 11816 12912 13293 15064 15192 16947 17724 19368 22596 23632 26586 30128 30384 33894 35448 38736 45192 53172 56759 67788 70896 90384 106344 113518 135576 170277 212688 227036 271152 340554 397313 454072 510831 681108 794626 908144 1021662 1191939 1362216 1589252 2043324 2383878 2724432 3178504 3575817 4086648 4767756 6357008 7151634 8173296 9535512 14303268 19071024 28606536 57213072