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45039150 = 23252137699
BaseRepresentation
bin1010101111001…
…1111000101110
310010202020002200
42223303320232
543012223100
64245202330
71054553322
oct253637056
9103666080
1045039150
1123472642
12131003a6
13943c3b0
145da5982
153e49e00
hex2af3e2e

45039150 has 72 divisors (see below), whose sum is σ = 130330200. Its totient is φ = 11085120.

The previous prime is 45039143. The next prime is 45039157. The reversal of 45039150 is 5193054.

45039150 is a `hidden beast` number, since 4 + 503 + 9 + 150 = 666.

It is an interprime number because it is at equal distance from previous prime (45039143) and next prime (45039157).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45039157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2001 + ... + 9699.

Almost surely, 245039150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45039150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65165100).

45039150 is an abundant number, since it is smaller than the sum of its proper divisors (85291050).

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

45039150 is a wasteful number, since it uses less digits than its factorization.

45039150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7730 (or 7722 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 45039150 is about 6711.1213668060. The cubic root of 45039150 is about 355.7924504558.

The spelling of 45039150 in words is "forty-five million, thirty-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 7699 15398 23097 38495 46194 69291 76990 100087 115485 138582 192475 200174 230970 300261 346455 384950 500435 577425 600522 692910 900783 1000870 1154850 1501305 1732275 1801566 2502175 3002610 3464550 4503915 5004350 7506525 9007830 15013050 22519575 45039150