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48612 = 2234051
BaseRepresentation
bin1011110111100100
32110200110
423313210
53023422
61013020
7261504
oct136744
973613
1048612
1133583
1224170
1319185
1413a04
15e60c
hexbde4

48612 has 12 divisors (see below), whose sum is σ = 113456. Its totient is φ = 16200.

The previous prime is 48611. The next prime is 48619. The reversal of 48612 is 21684.

It is a tau number, because it is divible by the number of its divisors (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48612.

It is not an unprimeable number, because it can be changed into a prime (48611) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2014 + ... + 2037.

248612 is an apocalyptic number.

It is an amenable number.

48612 is an abundant number, since it is smaller than the sum of its proper divisors (64844).

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 (56728).

48612 is a wasteful number, since it uses less digits than its factorization.

48612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4056 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 48612 is about 220.4812917234. The cubic root of 48612 is about 36.4962152828.

It can be divided in two parts, 486 and 12, that multiplied together give a cube (5832 = 183).

The spelling of 48612 in words is "forty-eight thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 4051 8102 12153 16204 24306 48612