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59427 = 333171
BaseRepresentation
bin1110100000100011
310000112000
432200203
53400202
61135043
7335154
oct164043
9100460
1059427
1140715
122a483
1321084
141792b
151291c
hexe823

59427 has 16 divisors (see below), whose sum is σ = 92160. Its totient is φ = 37800.

The previous prime is 59419. The next prime is 59441. The reversal of 59427 is 72495.

It is not a de Polignac number, because 59427 - 23 = 59419 is a prime.

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

Its product of digits (2520) is a multiple of the sum of its prime divisors (105).

It is a self number, because there is not a number n which added to its sum of digits gives 59427.

It is not an unprimeable number, because it can be changed into a prime (59407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

259427 is an apocalyptic number.

59427 is a deficient number, since it is larger than the sum of its proper divisors (32733).

59427 is a wasteful number, since it uses less digits than its factorization.

59427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 59427 is about 243.7765370170. The cubic root of 59427 is about 39.0236542893.

The spelling of 59427 in words is "fifty-nine thousand, four hundred twenty-seven".

Divisors: 1 3 9 27 31 71 93 213 279 639 837 1917 2201 6603 19809 59427