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55368 = 2332769
BaseRepresentation
bin1101100001001000
32210221200
431201020
53232433
61104200
7320265
oct154110
983850
1055368
1138665
1228060
131c281
141626c
1511613
hexd848

55368 has 24 divisors (see below), whose sum is σ = 150150. Its totient is φ = 18432.

The previous prime is 55351. The next prime is 55373. The reversal of 55368 is 86355.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 6084 = 222^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

55368 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 5 ways as a sum of consecutive naturals, for example, 313 + ... + 456.

255368 is an apocalyptic number.

It is an amenable number.

55368 is an abundant number, since it is smaller than the sum of its proper divisors (94782).

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

55368 is a wasteful number, since it uses less digits than its factorization.

55368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 774 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 55368 is about 235.3040586135. The cubic root of 55368 is about 38.1141535032.

The spelling of 55368 in words is "fifty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 769 1538 2307 3076 4614 6152 6921 9228 13842 18456 27684 55368