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12992256 = 28325639
BaseRepresentation
bin110001100011…
…111100000000
3220110002000200
4301203330000
511311223011
61142245200
7215301204
oct61437400
926402020
1012992256
117374302
124426800
1328cb834
141a22b04
151219856
hexc63f00

12992256 has 54 divisors (see below), whose sum is σ = 37466520. Its totient is φ = 4329984.

The previous prime is 12992251. The next prime is 12992269. The reversal of 12992256 is 65229921.

It is a happy number.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12992256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12992251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 516 + ... + 5123.

Almost surely, 212992256 is an apocalyptic number.

12992256 is a gapful number since it is divisible by the number (16) 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 12992256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18733260).

12992256 is an abundant number, since it is smaller than the sum of its proper divisors (24474264).

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

12992256 is an equidigital number, since it uses as much as digits as its factorization.

12992256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5661 (or 5644 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 12992256 is about 3604.4772159080. The cubic root of 12992256 is about 235.0867704320.

The spelling of 12992256 in words is "twelve million, nine hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5639 11278 16917 22556 33834 45112 50751 67668 90224 101502 135336 180448 203004 270672 360896 406008 541344 721792 812016 1082688 1443584 1624032 2165376 3248064 4330752 6496128 12992256