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12269792 = 253743241
BaseRepresentation
bin101110110011…
…100011100000
3212002100222202
4232303203200
511120113132
61114552332
7206201663
oct56634340
925070882
1012269792
116a20527
1241386a8
132707a42
1418b56da
151125762
hexbb38e0

12269792 has 48 divisors (see below), whose sum is σ = 25491312. Its totient is φ = 5806080.

The previous prime is 12269791. The next prime is 12269819. The reversal of 12269792 is 29796221.

12269792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12269791) 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, 50792 + ... + 51032.

It is an arithmetic number, because the mean of its divisors is an integer number (531069).

Almost surely, 212269792 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 12269792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12745656).

12269792 is an abundant number, since it is smaller than the sum of its proper divisors (13221520).

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

12269792 is a wasteful number, since it uses less digits than its factorization.

12269792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its digits is 27216, while the sum is 38.

The square root of 12269792 is about 3502.8262874428. The cubic root of 12269792 is about 230.6458971279.

The spelling of 12269792 in words is "twelve million, two hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 37 43 74 86 148 172 241 296 344 482 592 688 964 1184 1376 1591 1928 3182 3856 6364 7712 8917 10363 12728 17834 20726 25456 35668 41452 50912 71336 82904 142672 165808 285344 331616 383431 766862 1533724 3067448 6134896 12269792