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12492416 = 27175741
BaseRepresentation
bin101111101001…
…111010000000
3212111200101002
4233221322000
511144224131
61123431132
7211120016
oct57517200
925450332
1012492416
117062812
1242254a8
132785181
1419328b6
15116b6cb
hexbe9e80

12492416 has 32 divisors (see below), whose sum is σ = 26355780. Its totient is φ = 5877760.

The previous prime is 12492409. The next prime is 12492419. The reversal of 12492416 is 61429421.

12492416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12222016 + 270400 = 3496^2 + 520^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (12492419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 695 + ... + 5046.

Almost surely, 212492416 is an apocalyptic number.

12492416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12492416 is an abundant number, since it is smaller than the sum of its proper divisors (13863364).

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

12492416 is an equidigital number, since it uses as much as digits as its factorization.

12492416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5772 (or 5760 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 12492416 is about 3534.4612036349. The cubic root of 12492416 is about 232.0324964389.

The spelling of 12492416 in words is "twelve million, four hundred ninety-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 5741 11482 22964 45928 91856 97597 183712 195194 367424 390388 734848 780776 1561552 3123104 6246208 12492416