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12464032 = 25727949
BaseRepresentation
bin101111100010…
…111110100000
3212110020102211
4233202332200
511142322112
61123051504
7210641200
oct57427640
925406384
1012464032
117043459
124210b94
132775289
141926400
1511630a7
hexbe2fa0

12464032 has 36 divisors (see below), whose sum is σ = 28548450. Its totient is φ = 5341056.

The previous prime is 12464029. The next prime is 12464033. The reversal of 12464032 is 23046421.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10732176 + 1731856 = 3276^2 + 1316^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12463994 and 12464012.

It is not an unprimeable number, because it can be changed into a prime (12464033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2407 + ... + 5542.

Almost surely, 212464032 is an apocalyptic number.

It is an amenable number.

12464032 is an abundant number, since it is smaller than the sum of its proper divisors (16084418).

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

12464032 is an equidigital number, since it uses as much as digits as its factorization.

12464032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7973 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 12464032 is about 3530.4435981899. The cubic root of 12464032 is about 231.8566296114.

The spelling of 12464032 in words is "twelve million, four hundred sixty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 7949 15898 31796 55643 63592 111286 127184 222572 254368 389501 445144 779002 890288 1558004 1780576 3116008 6232016 12464032