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12628296 = 2332175393
BaseRepresentation
bin110000001011…
…000101001000
3212202120202200
4300023011020
511213101141
61130400200
7212224122
oct60130510
925676680
1012628296
11714590a
124290060
132801c85
14196a212
151196ab6
hexc0b148

12628296 has 24 divisors (see below), whose sum is σ = 34201830. Its totient is φ = 4209408.

The previous prime is 12628277. The next prime is 12628303. The reversal of 12628296 is 69282621.

It is a happy number.

12628296 is a `hidden beast` number, since 1 + 2 + 628 + 29 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12152196 + 476100 = 3486^2 + 690^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 12628296.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87625 + ... + 87768.

Almost surely, 212628296 is an apocalyptic number.

It is an amenable number.

12628296 is an abundant number, since it is smaller than the sum of its proper divisors (21573534).

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

12628296 is a wasteful number, since it uses less digits than its factorization.

12628296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175405 (or 175398 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 12628296 is about 3553.6313821217. The cubic root of 12628296 is about 232.8707369978.

The spelling of 12628296 in words is "twelve million, six hundred twenty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 175393 350786 526179 701572 1052358 1403144 1578537 2104716 3157074 4209432 6314148 12628296