Search a number
-
+
12264648 = 2331146457
BaseRepresentation
bin101110110010…
…010011001000
3212002002221020
4232302103020
511114432043
61114512440
7206150664
oct56622310
925062836
1012264648
116a17680
124135720
1327055b6
1418b38a4
151123e83
hexbb24c8

12264648 has 32 divisors (see below), whose sum is σ = 33449760. Its totient is φ = 3716480.

The previous prime is 12264641. The next prime is 12264691. The reversal of 12264648 is 84646221.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is not an unprimeable number, because it can be changed into a prime (12264641) 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 7 ways as a sum of consecutive naturals, for example, 22965 + ... + 23492.

It is an arithmetic number, because the mean of its divisors is an integer number (1045305).

Almost surely, 212264648 is an apocalyptic number.

It is an amenable number.

12264648 is an abundant number, since it is smaller than the sum of its proper divisors (21185112).

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

12264648 is a wasteful number, since it uses less digits than its factorization.

12264648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46477 (or 46473 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 12264648 is about 3502.0919462516. The cubic root of 12264648 is about 230.6136605495.

The spelling of 12264648 in words is "twelve million, two hundred sixty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 46457 92914 139371 185828 278742 371656 511027 557484 1022054 1114968 1533081 2044108 3066162 4088216 6132324 12264648