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46125 = 325341
BaseRepresentation
bin1011010000101101
32100021100
423100231
52434000
6553313
7251322
oct132055
970240
1046125
1131722
1222839
1317cc1
1412b49
15da00
hexb42d

46125 has 24 divisors (see below), whose sum is σ = 85176. Its totient is φ = 24000.

The previous prime is 46103. The next prime is 46133. The reversal of 46125 is 52164.

It is a happy number.

46125 is nontrivially palindromic in base 2.

46125 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10404 + 35721 = 102^2 + 189^2 .

It is not a de Polignac number, because 46125 - 25 = 46093 is a prime.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 46098 and 46107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1105 + ... + 1145.

It is an arithmetic number, because the mean of its divisors is an integer number (3549).

246125 is an apocalyptic number.

46125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46125 is a deficient number, since it is larger than the sum of its proper divisors (39051).

46125 is a wasteful number, since it uses less digits than its factorization.

46125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 49 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 46125 is about 214.7673159491. The cubic root of 46125 is about 35.8629045004.

Adding to 46125 its reverse (52164), we get a palindrome (98289).

It can be divided in two parts, 46 and 125, that added together give a palindrome (171).

The spelling of 46125 in words is "forty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 125 205 225 369 375 615 1025 1125 1845 3075 5125 9225 15375 46125