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12496644 = 2232347129
BaseRepresentation
bin101111101010…
…111100000100
3212111220011200
4233222330010
511144343034
61123502500
7211135236
oct57527404
925456150
1012496644
117065a06
124227a30
132787084
141934256
15116ca99
hexbeaf04

12496644 has 18 divisors (see below), whose sum is σ = 31588830. Its totient is φ = 4165536.

The previous prime is 12496633. The next prime is 12496657. The reversal of 12496644 is 44669421.

12496644 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 6 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9734400 + 2762244 = 3120^2 + 1662^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×124966442 = 312332222525472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 347129 = 12496644 / (1 + 2 + 4 + 9 + 6 + 6 + 4 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12496599 and 12496608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173529 + ... + 173600.

It is an arithmetic number, because the mean of its divisors is an integer number (1754935).

Almost surely, 212496644 is an apocalyptic number.

It is an amenable number.

12496644 is an abundant number, since it is smaller than the sum of its proper divisors (19092186).

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

12496644 is a wasteful number, since it uses less digits than its factorization.

12496644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347139 (or 347134 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 12496644 is about 3535.0592640011. The cubic root of 12496644 is about 232.0586702588.

The spelling of 12496644 in words is "twelve million, four hundred ninety-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 347129 694258 1041387 1388516 2082774 3124161 4165548 6248322 12496644