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11972624 = 241744017
BaseRepresentation
bin101101101011…
…000000010000
3211112021100112
4231223000100
511031110444
61104340452
7203523416
oct55530020
924467315
1011972624
116838234
124014728
1326326c1
1418392b6
1510b769e
hexb6b010

11972624 has 20 divisors (see below), whose sum is σ = 24562044. Its totient is φ = 5634048.

The previous prime is 11972593. The next prime is 11972629. The reversal of 11972624 is 42627911.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9412624 + 2560000 = 3068^2 + 1600^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11972629) 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, 21737 + ... + 22280.

Almost surely, 211972624 is an apocalyptic number.

It is an amenable number.

11972624 is an abundant number, since it is smaller than the sum of its proper divisors (12589420).

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

11972624 is a wasteful number, since it uses less digits than its factorization.

11972624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44042 (or 44036 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 11972624 is about 3460.1479737144. The cubic root of 11972624 is about 228.7686176333.

The spelling of 11972624 in words is "eleven million, nine hundred seventy-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 44017 88034 176068 352136 704272 748289 1496578 2993156 5986312 11972624