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12964248 = 23321116369
BaseRepresentation
bin110001011101…
…000110011000
3220101122121100
4301131012120
511304323443
61141511400
7215123433
oct61350630
926348540
1012964248
117355260
124412560
1328bbb6b
141a1681a
1512113d3
hexc5d198

12964248 has 48 divisors (see below), whose sum is σ = 38305800. Its totient is φ = 3928320.

The previous prime is 12964243. The next prime is 12964261. The reversal of 12964248 is 84246921.

12964248 is a `hidden beast` number, since 1 + 2 + 9 + 642 + 4 + 8 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12964243) 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 11 ways as a sum of consecutive naturals, for example, 7393 + ... + 8976.

Almost surely, 212964248 is an apocalyptic number.

12964248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12964248 is an abundant number, since it is smaller than the sum of its proper divisors (25341552).

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

12964248 is a wasteful number, since it uses less digits than its factorization.

12964248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16392 (or 16385 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12964248 is about 3600.5899516607. The cubic root of 12964248 is about 234.9177197989.

The spelling of 12964248 in words is "twelve million, nine hundred sixty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 16369 32738 49107 65476 98214 130952 147321 180059 196428 294642 360118 392856 540177 589284 720236 1080354 1178568 1440472 1620531 2160708 3241062 4321416 6482124 12964248