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12952296 = 2332731829
BaseRepresentation
bin110001011010…
…001011101000
3220101001012200
4301122023220
511303433141
61141340200
7215043540
oct61321350
926331180
1012952296
117347285
124407660
1328b65a6
141a12320
15120cab6
hexc5a2e8

12952296 has 96 divisors (see below), whose sum is σ = 41433600. Its totient is φ = 3576960.

The previous prime is 12952271. The next prime is 12952297. The reversal of 12952296 is 69225921.

It is a happy number.

12952296 is a `hidden beast` number, since 129 + 522 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12952296.

It is not an unprimeable number, because it can be changed into a prime (12952297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15210 + ... + 16038.

It is an arithmetic number, because the mean of its divisors is an integer number (431600).

Almost surely, 212952296 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 12952296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20716800).

12952296 is an abundant number, since it is smaller than the sum of its proper divisors (28481304).

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

12952296 is a wasteful number, since it uses less digits than its factorization.

12952296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 872 counting only the distinct ones).

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

The square root of 12952296 is about 3598.9298409388. The cubic root of 12952296 is about 234.8455058182.

It can be divided in two parts, 129 and 52296, that added together give a palindrome (52425).

The spelling of 12952296 in words is "twelve million, nine hundred fifty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 829 868 1116 1302 1658 1736 1953 2232 2487 2604 3316 3906 4974 5208 5803 6632 7461 7812 9948 11606 14922 15624 17409 19896 23212 25699 29844 34818 46424 51398 52227 59688 69636 77097 102796 104454 139272 154194 179893 205592 208908 231291 308388 359786 417816 462582 539679 616776 719572 925164 1079358 1439144 1619037 1850328 2158716 3238074 4317432 6476148 12952296