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53892 = 2233499
BaseRepresentation
bin1101001010000100
32201221000
431022010
53211032
61053300
7313056
oct151204
981830
1053892
1137543
1227230
131b6b7
14158d6
1510e7c
hexd284

53892 has 24 divisors (see below), whose sum is σ = 140000. Its totient is φ = 17928.

The previous prime is 53891. The next prime is 53897. The reversal of 53892 is 29835.

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 a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53891) 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, 142 + ... + 357.

253892 is an apocalyptic number.

It is an amenable number.

53892 is an abundant number, since it is smaller than the sum of its proper divisors (86108).

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 (70000).

53892 is a wasteful number, since it uses less digits than its factorization.

53892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 53892 is about 232.1465054658. The cubic root of 53892 is about 37.7724162582.

It can be divided in two parts, 538 and 92, that added together give a triangular number (630 = T35).

The spelling of 53892 in words is "fifty-three thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 499 998 1497 1996 2994 4491 5988 8982 13473 17964 26946 53892