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54752 = 252959
BaseRepresentation
bin1101010111100000
32210002212
431113200
53223002
61101252
7315425
oct152740
983085
1054752
1138155
1227828
131bbc9
1415d4c
1511352
hexd5e0

54752 has 24 divisors (see below), whose sum is σ = 113400. Its totient is φ = 25984.

The previous prime is 54751. The next prime is 54767. The reversal of 54752 is 25745.

54752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54751) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 899 + ... + 957.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

254752 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 54752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56700).

54752 is an abundant number, since it is smaller than the sum of its proper divisors (58648).

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

54752 is a wasteful number, since it uses less digits than its factorization.

54752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its digits is 1400, while the sum is 23.

The square root of 54752 is about 233.9914528354. The cubic root of 54752 is about 37.9722789514.

The spelling of 54752 in words is "fifty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 59 116 118 232 236 464 472 928 944 1711 1888 3422 6844 13688 27376 54752