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12492788 = 2271147863
BaseRepresentation
bin101111101001…
…111111110100
3212111200212212
4233221333310
511144232123
61123432552
7211121060
oct57517764
925450785
1012492788
117063020
124225758
1327853a9
141932aa0
15116b878
hexbe9ff4

12492788 has 48 divisors (see below), whose sum is σ = 27869184. Its totient is φ = 4758240.

The previous prime is 12492787. The next prime is 12492793. The reversal of 12492788 is 88729421.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12492787) 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 15 ways as a sum of consecutive naturals, for example, 14045 + ... + 14907.

It is an arithmetic number, because the mean of its divisors is an integer number (580608).

Almost surely, 212492788 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 12492788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934592).

12492788 is an abundant number, since it is smaller than the sum of its proper divisors (15376396).

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

12492788 is a wasteful number, since it uses less digits than its factorization.

12492788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 930 counting only the distinct ones).

The product of its digits is 64512, while the sum is 41.

The square root of 12492788 is about 3534.5138279543. The cubic root of 12492788 is about 232.0347995757.

The spelling of 12492788 in words is "twelve million, four hundred ninety-two thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 154 188 308 329 517 658 863 1034 1316 1726 2068 3452 3619 6041 7238 9493 12082 14476 18986 24164 37972 40561 66451 81122 132902 162244 265804 283927 446171 567854 892342 1135708 1784684 3123197 6246394 12492788