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53958 = 2317232
BaseRepresentation
bin1101001011000110
32202000110
431023012
53211313
61053450
7313212
oct151306
982013
1053958
11375a3
1227286
131b738
1415942
1510ec3
hexd2c6

53958 has 24 divisors (see below), whose sum is σ = 119448. Its totient is φ = 16192.

The previous prime is 53951. The next prime is 53959. The reversal of 53958 is 85935.

53958 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 super-2 number, since 2×539582 = 5822931528, which contains 22 as substring.

Its product of digits (5400) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2335 + ... + 2357.

It is an arithmetic number, because the mean of its divisors is an integer number (4977).

253958 is an apocalyptic number.

53958 is an abundant number, since it is smaller than the sum of its proper divisors (65490).

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 (59724).

53958 is a wasteful number, since it uses less digits than its factorization.

53958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 45 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 53958 is about 232.2886135823. The cubic root of 53958 is about 37.7878295692.

The spelling of 53958 in words is "fifty-three thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 138 391 529 782 1058 1173 1587 2346 3174 8993 17986 26979 53958