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12272792 = 237673271
BaseRepresentation
bin101110110100…
…010010011000
3212002112002212
4232310102120
511120212132
61115014252
7206213510
oct56642230
925075085
1012272792
116a22804
12413a388
13270920c
1418b6840
1511265b2
hexbb4498

12272792 has 32 divisors (see below), whose sum is σ = 26699520. Its totient is φ = 5179680.

The previous prime is 12272783. The next prime is 12272801. The reversal of 12272792 is 29727221.

It is an interprime number because it is at equal distance from previous prime (12272783) and next prime (12272801).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2117 + ... + 5387.

It is an arithmetic number, because the mean of its divisors is an integer number (834360).

Almost surely, 212272792 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 12272792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13349760).

12272792 is an abundant number, since it is smaller than the sum of its proper divisors (14426728).

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

12272792 is a wasteful number, since it uses less digits than its factorization.

12272792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3347 counting only the distinct ones).

The product of its digits is 7056, while the sum is 32.

The square root of 12272792 is about 3503.2544869021. The cubic root of 12272792 is about 230.6646934614.

The spelling of 12272792 in words is "twelve million, two hundred seventy-two thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 938 1876 3271 3752 6542 13084 22897 26168 45794 91588 183176 219157 438314 876628 1534099 1753256 3068198 6136396 12272792