Search a number
-
+
53976 = 23313173
BaseRepresentation
bin1101001011011000
32202001010
431023120
53211401
61053520
7313236
oct151330
982033
1053976
113760a
12272a0
131b750
1415956
1510ed6
hexd2d8

53976 has 32 divisors (see below), whose sum is σ = 146160. Its totient is φ = 16512.

The previous prime is 53959. The next prime is 53987. The reversal of 53976 is 67935.

53976 = T51 + T52 + ... + T76.

53976 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226 + ... + 398.

253976 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 53976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73080).

53976 is an abundant number, since it is smaller than the sum of its proper divisors (92184).

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

53976 is a wasteful number, since it uses less digits than its factorization.

53976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its digits is 5670, while the sum is 30.

The square root of 53976 is about 232.3273552555. The cubic root of 53976 is about 37.7920310180.

The spelling of 53976 in words is "fifty-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 173 312 346 519 692 1038 1384 2076 2249 4152 4498 6747 8996 13494 17992 26988 53976