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57468 = 2234789
BaseRepresentation
bin1110000001111100
32220211110
432001330
53314333
61122020
7326355
oct160174
986743
1057468
113a1a4
1229310
1320208
1416d2c
1512063
hexe07c

57468 has 12 divisors (see below), whose sum is σ = 134120. Its totient is φ = 19152.

The previous prime is 57467. The next prime is 57487. The reversal of 57468 is 86475.

It is a happy number.

57468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2383 + ... + 2406.

257468 is an apocalyptic number.

It is an amenable number.

57468 is an abundant number, since it is smaller than the sum of its proper divisors (76652).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67060).

57468 is a wasteful number, since it uses less digits than its factorization.

57468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4796 (or 4794 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 57468 is about 239.7248422671. The cubic root of 57468 is about 38.5900517554.

It can be divided in two parts, 57 and 468, that added together give a palindrome (525).

The spelling of 57468 in words is "fifty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 4789 9578 14367 19156 28734 57468