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45075984 = 2433130293
BaseRepresentation
bin1010101111110…
…0111000010000
310010211002121220
42223330320100
543014412414
64250045040
71055065602
oct253747020
9103732556
1045075984
1123498288
1213119780
1394530a5
145db5172
153e55ca9
hex2afce10

45075984 has 40 divisors (see below), whose sum is σ = 120206592. Its totient is φ = 14540160.

The previous prime is 45075973. The next prime is 45076007. The reversal of 45075984 is 48957054.

45075984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 13659 + ... + 16634.

Almost surely, 245075984 is an apocalyptic number.

It is an amenable number.

45075984 is an abundant number, since it is smaller than the sum of its proper divisors (75130608).

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

45075984 is a wasteful number, since it uses less digits than its factorization.

45075984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30335 (or 30329 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 45075984 is about 6713.8650567315. The cubic root of 45075984 is about 355.8894156380.

The spelling of 45075984 in words is "forty-five million, seventy-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 30293 60586 90879 121172 181758 242344 363516 484688 727032 939083 1454064 1878166 2817249 3756332 5634498 7512664 11268996 15025328 22537992 45075984