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45182128 = 2431711283
BaseRepresentation
bin1010110001011…
…0110010110000
310011000111020011
42230112302300
543031312003
64252224304
71056020215
oct254266260
9104014204
1045182128
1123560002
121316b094
13948c4b4
146001b0c
153e7746d
hex2b16cb0

45182128 has 40 divisors (see below), whose sum is σ = 91708416. Its totient is φ = 21537600.

The previous prime is 45182119. The next prime is 45182153. The reversal of 45182128 is 82128154.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 45182128.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34575 + ... + 35857.

Almost surely, 245182128 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 45182128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45854208).

45182128 is an abundant number, since it is smaller than the sum of its proper divisors (46526288).

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

45182128 is a wasteful number, since it uses less digits than its factorization.

45182128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1387 counting only the distinct ones).

The product of its digits is 5120, while the sum is 31.

The square root of 45182128 is about 6721.7652443387. The cubic root of 45182128 is about 356.1685436828.

The spelling of 45182128 in words is "forty-five million, one hundred eighty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 62 71 124 142 248 284 496 568 1136 1283 2201 2566 4402 5132 8804 10264 17608 20528 35216 39773 79546 91093 159092 182186 318184 364372 636368 728744 1457488 2823883 5647766 11295532 22591064 45182128