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45055152 = 24323110093
BaseRepresentation
bin1010101111011…
…1110010110000
310010210001001100
42223313302300
543013231102
64245404400
71054651062
oct253676260
9103701040
1045055152
112348366a
1213109700
13944676c
145dab732
153e4ea1c
hex2af7cb0

45055152 has 60 divisors (see below), whose sum is σ = 130172224. Its totient is φ = 14532480.

The previous prime is 45055123. The next prime is 45055163. The reversal of 45055152 is 25155054.

45055152 is a `hidden beast` number, since 4 + 505 + 5 + 152 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 583 + ... + 9510.

Almost surely, 245055152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45055152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65086112).

45055152 is an abundant number, since it is smaller than the sum of its proper divisors (85117072).

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

45055152 is a wasteful number, since it uses less digits than its factorization.

45055152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10138 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 45055152 is about 6712.3134610952. The cubic root of 45055152 is about 355.8345820728.

The spelling of 45055152 in words is "forty-five million, fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 10093 20186 30279 40372 60558 80744 90837 121116 161488 181674 242232 312883 363348 484464 625766 726696 938649 1251532 1453392 1877298 2503064 2815947 3754596 5006128 5631894 7509192 11263788 15018384 22527576 45055152