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45872260 = 22571572087
BaseRepresentation
bin1010111011111…
…1010010000100
310012022112220121
42232333102010
543220403020
64315111324
71064623240
oct256772204
9105275817
1045872260
1123991565
1213442544
139671665
146141420
154061baa
hex2bbf484

45872260 has 48 divisors (see below), whose sum is σ = 110847744. Its totient is φ = 15619968.

The previous prime is 45872257. The next prime is 45872261. The reversal of 45872260 is 6227854.

It is not an unprimeable number, because it can be changed into a prime (45872261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20937 + ... + 23023.

It is an arithmetic number, because the mean of its divisors is an integer number (2309328).

Almost surely, 245872260 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 45872260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55423872).

45872260 is an abundant number, since it is smaller than the sum of its proper divisors (64975484).

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

45872260 is a wasteful number, since it uses less digits than its factorization.

45872260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 45872260 is about 6772.9063185607. The cubic root of 45872260 is about 357.9728140150.

The spelling of 45872260 in words is "forty-five million, eight hundred seventy-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 157 314 628 785 1099 1570 2087 2198 3140 4174 4396 5495 8348 10435 10990 14609 20870 21980 29218 41740 58436 73045 146090 292180 327659 655318 1310636 1638295 2293613 3276590 4587226 6553180 9174452 11468065 22936130 45872260