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12792252 = 2231196911
BaseRepresentation
bin110000110011…
…000110111100
3220001220200010
4300303012330
511233323002
61134103220
7213506124
oct60630674
926056603
1012792252
117248010
12434ab10
13285b7a5
1419adc84
1511ca46c
hexc331bc

12792252 has 24 divisors (see below), whose sum is σ = 32562432. Its totient is φ = 3876400.

The previous prime is 12792251. The next prime is 12792253. The reversal of 12792252 is 25229721.

12792252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12792251) and next prime (12792253).

It is a super-2 number, since 2×127922522 = 327283422463008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12792251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48324 + ... + 48587.

It is an arithmetic number, because the mean of its divisors is an integer number (1356768).

Almost surely, 212792252 is an apocalyptic number.

12792252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12792252 is an abundant number, since it is smaller than the sum of its proper divisors (19770180).

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

12792252 is a wasteful number, since it uses less digits than its factorization.

12792252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96929 (or 96927 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 12792252 is about 3576.6257841714. The cubic root of 12792252 is about 233.8742110109.

The spelling of 12792252 in words is "twelve million, seven hundred ninety-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 96911 193822 290733 387644 581466 1066021 1162932 2132042 3198063 4264084 6396126 12792252