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57456 = 2433719
BaseRepresentation
bin1110000001110000
32220211000
432001300
53314311
61122000
7326340
oct160160
986730
1057456
113a193
1229300
13201c9
1416d20
1512056
hexe070

57456 has 80 divisors (see below), whose sum is σ = 198400. Its totient is φ = 15552.

The previous prime is 57427. The next prime is 57457. The reversal of 57456 is 65475.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2 and base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57457) by changing a digit.

57456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3015 + ... + 3033.

It is an arithmetic number, because the mean of its divisors is an integer number (2480).

257456 is an apocalyptic number.

57456 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 57456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99200).

57456 is an abundant number, since it is smaller than the sum of its proper divisors (140944).

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

57456 is a wasteful number, since it uses less digits than its factorization.

57456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 31 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 57456 is about 239.6998122653. The cubic root of 57456 is about 38.5873655483.

It can be divided in two parts, 574 and 56, that added together give a triangular number (630 = T35).

The spelling of 57456 in words is "fifty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 9576 14364 19152 28728 57456