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45874152 = 23325910799
BaseRepresentation
bin1010111011111…
…1101111101000
310012022122111200
42232333233220
543220433102
64315124200
71064631612
oct256775750
9105278450
1045874152
1123992a25
1213443660
13967248c
146141db2
15406251c
hex2bbfbe8

45874152 has 48 divisors (see below), whose sum is σ = 126360000. Its totient is φ = 15030816.

The previous prime is 45874139. The next prime is 45874181. The reversal of 45874152 is 25147854.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1152 + ... + 9647.

It is an arithmetic number, because the mean of its divisors is an integer number (2632500).

Almost surely, 245874152 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 45874152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63180000).

45874152 is an abundant number, since it is smaller than the sum of its proper divisors (80485848).

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

45874152 is a wasteful number, since it uses less digits than its factorization.

45874152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10870 (or 10863 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 45874152 is about 6773.0459912804. The cubic root of 45874152 is about 357.9777354734.

The spelling of 45874152 in words is "forty-five million, eight hundred seventy-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 4248 10799 21598 32397 43196 64794 86392 97191 129588 194382 259176 388764 637141 777528 1274282 1911423 2548564 3822846 5097128 5734269 7645692 11468538 15291384 22937076 45874152