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59925 = 3521747
BaseRepresentation
bin1110101000010101
310001012110
432220111
53404200
61141233
7336465
oct165025
9101173
1059925
1141028
122a819
1321378
1417ba5
1512b50
hexea15

59925 has 24 divisors (see below), whose sum is σ = 107136. Its totient is φ = 29440.

The previous prime is 59921. The next prime is 59929. The reversal of 59925 is 52995.

59925 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (59921) and next prime (59929).

It is not a de Polignac number, because 59925 - 22 = 59921 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 59892 and 59901.

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 59925.

It is not an unprimeable number, because it can be changed into a prime (59921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1252 + ... + 1298.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

259925 is an apocalyptic number.

It is an amenable number.

59925 is a deficient number, since it is larger than the sum of its proper divisors (47211).

59925 is a wasteful number, since it uses less digits than its factorization.

59925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 72 counting only the distinct ones).

The product of its digits is 4050, while the sum is 30.

The square root of 59925 is about 244.7958332979. The cubic root of 59925 is about 39.1323576618.

Subtracting from 59925 its sum of digits (30), we obtain a palindrome (59895).

The spelling of 59925 in words is "fifty-nine thousand, nine hundred twenty-five".

Divisors: 1 3 5 15 17 25 47 51 75 85 141 235 255 425 705 799 1175 1275 2397 3525 3995 11985 19975 59925