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153648964 = 2275487463
BaseRepresentation
bin10010010100001…
…11111101000100
3101201010011202101
421022013331010
5303313231324
623125121444
73543665110
oct1112077504
9351104671
10153648964
1179804817
1243559284
1325aa8a61
1416598740
15d750944
hex9287f44

153648964 has 12 divisors (see below), whose sum is σ = 307297984. Its totient is φ = 65849544.

The previous prime is 153648923. The next prime is 153648973. The reversal of 153648964 is 469846351.

153648964 is an admirable number.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 2743704 + ... + 2743759.

Almost surely, 2153648964 is an apocalyptic number.

153648964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

153648964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

153648964 is a wasteful number, since it uses less digits than its factorization.

153648964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487474 (or 5487472 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 153648964 is about 12395.5219333435. The cubic root of 153648964 is about 535.6032604696.

The spelling of 153648964 in words is "one hundred fifty-three million, six hundred forty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 5487463 10974926 21949852 38412241 76824482 153648964