52976 has 40 divisors (see below), whose sum is σ = 130944. Its totient is φ = 20160.

The previous prime is 52973. The next prime is 52981. The reversal of 52976 is 67925.

It is a pancake number, because a pancake can be divided into 52976 parts by 325 straight cuts.

Its product of digits (3780) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 52976.

It is not an unprimeable number, because it can be changed into a prime (52973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1211 + ... + 1253.

2^{52976} is an apocalyptic number.

52976 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 52976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65472).

52976 is an abundant number, since it is smaller than the sum of its proper divisors (77968).

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

52976 is a wasteful number, since it uses less digits than its factorization.

52976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 63 counting only the distinct ones).

The product of its digits is 3780, while the sum is 29.

The square root of 52976 is about 230.1651580931. The cubic root of 52976 is about 37.5571868209.

The spelling of 52976 in words is "fifty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 43 44 56 77 86 88 112 154 172 176 301 308 344 473 602 616 688 946 1204 1232 1892 2408 3311 3784 4816 6622 7568 13244 26488 52976

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