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12442632 = 2332322541
BaseRepresentation
bin101111011101…
…110000001000
3212102011002020
4233131300020
511141131012
61122404440
7210521616
oct57356010
925364066
1012442632
117029374
124200720
132768607
14191c6b6
15115ba8c
hexbddc08

12442632 has 32 divisors (see below), whose sum is σ = 32460480. Its totient is φ = 3967040.

The previous prime is 12442627. The next prime is 12442643. The reversal of 12442632 is 23624421.

12442632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10719 + ... + 11822.

It is an arithmetic number, because the mean of its divisors is an integer number (1014390).

Almost surely, 212442632 is an apocalyptic number.

12442632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12442632 is an abundant number, since it is smaller than the sum of its proper divisors (20017848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12442632 is a wasteful number, since it uses less digits than its factorization.

12442632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22573 (or 22569 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 12442632 is about 3527.4115155451. The cubic root of 12442632 is about 231.7238589251.

The spelling of 12442632 in words is "twelve million, four hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 22541 45082 67623 90164 135246 180328 270492 518443 540984 1036886 1555329 2073772 3110658 4147544 6221316 12442632