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45975984 = 2437313121
BaseRepresentation
bin1010111101100…
…0100110110000
310012111211012020
42233120212300
543232212414
64321231440
71065534525
oct257304660
9105454166
1045975984
1123a5248a
1213492580
1396a9932
14616b14c
1540827a9
hex2bd89b0

45975984 has 40 divisors (see below), whose sum is σ = 120407472. Its totient is φ = 15114240.

The previous prime is 45975983. The next prime is 45975997. The reversal of 45975984 is 48957954.

45975984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459759842 = 4227582209536512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45975983) by changing a digit.

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, 3057 + ... + 10064.

Almost surely, 245975984 is an apocalyptic number.

It is an amenable number.

45975984 is an abundant number, since it is smaller than the sum of its proper divisors (74431488).

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

45975984 is a wasteful number, since it uses less digits than its factorization.

45975984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13205 (or 13199 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The square root of 45975984 is about 6780.5592689689. The cubic root of 45975984 is about 358.2424208282.

The spelling of 45975984 in words is "forty-five million, nine hundred seventy-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3504 13121 26242 39363 52484 78726 104968 157452 209936 314904 629808 957833 1915666 2873499 3831332 5746998 7662664 11493996 15325328 22987992 45975984