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12492792 = 2334131483
BaseRepresentation
bin101111101001…
…111111111000
3212111200220000
4233221333320
511144232132
61123433000
7211121064
oct57517770
925450800
1012492792
117063024
124225760
1327853b0
141932aa4
15116b87c
hexbe9ff8

12492792 has 80 divisors (see below), whose sum is σ = 37708440. Its totient is φ = 3841344.

The previous prime is 12492787. The next prime is 12492793. The reversal of 12492792 is 29729421.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12492793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7683 + ... + 9165.

Almost surely, 212492792 is an apocalyptic number.

12492792 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 12492792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18854220).

12492792 is an abundant number, since it is smaller than the sum of its proper divisors (25215648).

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

12492792 is a wasteful number, since it uses less digits than its factorization.

12492792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1501 counting only the distinct ones).

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

The square root of 12492792 is about 3534.5143938029. The cubic root of 12492792 is about 232.0348243404.

It can be divided in two parts, 12 and 492792, that added together give a square (492804 = 7022).

The spelling of 12492792 in words is "twelve million, four hundred ninety-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 1483 2106 2808 2966 4212 4449 5932 8424 8898 11864 13347 17796 19279 26694 35592 38558 40041 53388 57837 77116 80082 106776 115674 120123 154232 160164 173511 231348 240246 320328 347022 462696 480492 520533 694044 960984 1041066 1388088 1561599 2082132 3123198 4164264 6246396 12492792