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12792492 = 223641107
BaseRepresentation
bin110000110011…
…001010101100
3220001221000000
4300303022230
511233324432
61134104300
7213506616
oct60631254
926057000
1012792492
117248209
12434b090
13285b92b
1419addb6
1511ca57c
hexc332ac

12792492 has 84 divisors (see below), whose sum is σ = 34704936. Its totient is φ = 4121280.

The previous prime is 12792473. The next prime is 12792499. The reversal of 12792492 is 29429721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12792499) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 119503 + ... + 119609.

It is an arithmetic number, because the mean of its divisors is an integer number (413154).

Almost surely, 212792492 is an apocalyptic number.

12792492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12792492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352468).

12792492 is an abundant number, since it is smaller than the sum of its proper divisors (21912444).

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

12792492 is a wasteful number, since it uses less digits than its factorization.

12792492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 12792492 is about 3576.6593351898. The cubic root of 12792492 is about 233.8756736009.

The spelling of 12792492 in words is "twelve million, seven hundred ninety-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 107 108 123 162 164 214 243 246 321 324 369 428 486 492 642 729 738 963 972 1107 1284 1458 1476 1926 2214 2889 2916 3321 3852 4387 4428 5778 6642 8667 8774 9963 11556 13161 13284 17334 17548 19926 26001 26322 29889 34668 39483 39852 52002 52644 59778 78003 78966 104004 118449 119556 156006 157932 236898 312012 355347 473796 710694 1066041 1421388 2132082 3198123 4264164 6396246 12792492