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57314016 = 2532593373
BaseRepresentation
bin1101101010100…
…0101011100000
310222211212001100
43122220223200
5104133022031
65404234400
71264106154
oct332505340
9128755040
1057314016
112a396961
121723ba00
13bb49526
14787d064
155071de6
hex36a8ae0

57314016 has 72 divisors (see below), whose sum is σ = 165798360. Its totient is φ = 18775296.

The previous prime is 57313981. The next prime is 57314017. The reversal of 57314016 is 61041375.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57314017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15306 + ... + 18678.

It is an arithmetic number, because the mean of its divisors is an integer number (2302755).

Almost surely, 257314016 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 57314016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82899180).

57314016 is an abundant number, since it is smaller than the sum of its proper divisors (108484344).

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

57314016 is a wasteful number, since it uses less digits than its factorization.

57314016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 57314016 is about 7570.6020896624. The cubic root of 57314016 is about 385.5555391424. Note that the first 4 decimals are identical.

The spelling of 57314016 in words is "fifty-seven million, three hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 3373 4248 5664 6746 8496 10119 13492 16992 20238 26984 30357 40476 53968 60714 80952 107936 121428 161904 199007 242856 323808 398014 485712 597021 796028 971424 1194042 1592056 1791063 2388084 3184112 3582126 4776168 6368224 7164252 9552336 14328504 19104672 28657008 57314016