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12497792 = 27251389
BaseRepresentation
bin101111101011…
…001110000000
3212111221202012
4233223032000
511144412132
61123512052
7211141466
oct57531600
925457665
1012497792
11706685a
124228628
132787758
141934836
15116d0b2
hexbeb380

12497792 has 32 divisors (see below), whose sum is σ = 25061400. Its totient is φ = 6208000.

The previous prime is 12497791. The next prime is 12497827. The reversal of 12497792 is 29779421.

12497792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12497791) 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, 31934 + ... + 32322.

Almost surely, 212497792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12497792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12530700).

12497792 is an abundant number, since it is smaller than the sum of its proper divisors (12563608).

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

12497792 is an equidigital number, since it uses as much as digits as its factorization.

12497792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its digits is 63504, while the sum is 41.

The square root of 12497792 is about 3535.2216337876. The cubic root of 12497792 is about 232.0657760384.

The spelling of 12497792 in words is "twelve million, four hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 251 389 502 778 1004 1556 2008 3112 4016 6224 8032 12448 16064 24896 32128 49792 97639 195278 390556 781112 1562224 3124448 6248896 12497792