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57972 = 2234831
BaseRepresentation
bin1110001001110100
32221112010
432021310
53323342
61124220
7331005
oct161164
987463
1057972
113a612
1229670
1320505
14171ac
151229c
hexe274

57972 has 12 divisors (see below), whose sum is σ = 135296. Its totient is φ = 19320.

The previous prime is 57947. The next prime is 57973. The reversal of 57972 is 27975.

It is a happy number.

57972 is digitally balanced in base 2 and base 4, because in such bases 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 plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57973) by changing a digit.

57972 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 3 ways as a sum of consecutive naturals, for example, 2404 + ... + 2427.

257972 is an apocalyptic number.

It is an amenable number.

57972 is an abundant number, since it is smaller than the sum of its proper divisors (77324).

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 (67648).

57972 is a wasteful number, since it uses less digits than its factorization.

57972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 4836 counting only the distinct ones).

The product of its digits is 4410, while the sum is 30.

The square root of 57972 is about 240.7737527223. The cubic root of 57972 is about 38.7025364067.

The spelling of 57972 in words is "fifty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 4831 9662 14493 19324 28986 57972