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45312048 = 243434963
BaseRepresentation
bin1010110011011…
…0100000110000
310011021002110000
42230312200300
543044441143
64255110000
71060101045
oct254664060
9104232400
1045312048
1123639681
1213212300
139506682
1460371cc
153ea0bd3
hex2b36830

45312048 has 50 divisors (see below), whose sum is σ = 131149964. Its totient is φ = 15103584.

The previous prime is 45312041. The next prime is 45312053. The reversal of 45312048 is 84021354.

45312048 is a `hidden beast` number, since 453 + 1 + 204 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45312041) 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 9 ways as a sum of consecutive naturals, for example, 16186 + ... + 18777.

Almost surely, 245312048 is an apocalyptic number.

45312048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45312048 is an abundant number, since it is smaller than the sum of its proper divisors (85837916).

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

45312048 is a wasteful number, since it uses less digits than its factorization.

45312048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34983 (or 34968 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45312048 is about 6731.4224351173. The cubic root of 45312048 is about 356.5096013628.

The spelling of 45312048 in words is "forty-five million, three hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 34963 69926 104889 139852 209778 279704 314667 419556 559408 629334 839112 944001 1258668 1678224 1888002 2517336 2832003 3776004 5034672 5664006 7552008 11328012 15104016 22656024 45312048