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45133050 = 23521931559
BaseRepresentation
bin1010110000101…
…0110011111010
310010220222220110
42230022303322
543023224200
64251205150
71055424144
oct254126372
9103828813
1045133050
1123527146
12131467b6
139473061
145dcbc94
153e67b50
hex2b0acfa

45133050 has 48 divisors (see below), whose sum is σ = 112582080. Its totient is φ = 11965440.

The previous prime is 45133043. The next prime is 45133069. The reversal of 45133050 is 5033154.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28171 + ... + 29729.

It is an arithmetic number, because the mean of its divisors is an integer number (2345460).

Almost surely, 245133050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45133050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56291040).

45133050 is an abundant number, since it is smaller than the sum of its proper divisors (67449030).

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

45133050 is a wasteful number, since it uses less digits than its factorization.

45133050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 45133050 is about 6718.1135745088. The cubic root of 45133050 is about 356.0395371230.

The spelling of 45133050 in words is "forty-five million, one hundred thirty-three thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 193 386 579 965 1158 1559 1930 2895 3118 4677 4825 5790 7795 9354 9650 14475 15590 23385 28950 38975 46770 77950 116925 233850 300887 601774 902661 1504435 1805322 3008870 4513305 7522175 9026610 15044350 22566525 45133050