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59375 = 5519
BaseRepresentation
bin1110011111101111
310000110002
432133233
53400000
61134515
7335051
oct163757
9100402
1059375
1140678
122a43b
1321044
14178d1
15128d5
hexe7ef

59375 has 12 divisors (see below), whose sum is σ = 78120. Its totient is φ = 45000.

The previous prime is 59369. The next prime is 59377. The reversal of 59375 is 57395.

It can be divided in two parts, 59 and 375, that added together give a palindrome (434).

It is a trimorphic number since its cube, 209320068359375, ends in 59375.

It is not a de Polignac number, because 59375 - 24 = 59359 is a prime.

It is a d-powerful number, because it can be written as 53 + 95 + 33 + 72 + 53 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59375.

It is not an unprimeable number, because it can be changed into a prime (59377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3116 + ... + 3134.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

59375 is a Friedman number, since it can be written as 95*5^(7-3), using all its digits and the basic arithmetic operations.

259375 is an apocalyptic number.

59375 is a deficient number, since it is larger than the sum of its proper divisors (18745).

59375 is an frugal number, since it uses more digits than its factorization.

59375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 24 counting only the distinct ones).

The product of its digits is 4725, while the sum is 29.

The square root of 59375 is about 243.6698586202. The cubic root of 59375 is about 39.0122687677.

The spelling of 59375 in words is "fifty-nine thousand, three hundred seventy-five".

Divisors: 1 5 19 25 95 125 475 625 2375 3125 11875 59375