Search a number
-
+
45742086 = 23213195479
BaseRepresentation
bin1010111001111…
…1100000000110
310012001221100100
42232133200012
543202221321
64312224530
71063541565
oct256374006
9105057310
1045742086
1123902785
121339b146
139627330
146109bdc
154038326
hex2b9f806

45742086 has 24 divisors (see below), whose sum is σ = 106732080. Its totient is φ = 14074416.

The previous prime is 45742069. The next prime is 45742097. The reversal of 45742086 is 68024754.

45742086 is a `hidden beast` number, since 4 + 574 + 2 + 0 + 86 = 666.

45742086 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45742086.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97506 + ... + 97973.

It is an arithmetic number, because the mean of its divisors is an integer number (4447170).

Almost surely, 245742086 is an apocalyptic number.

45742086 is an abundant number, since it is smaller than the sum of its proper divisors (60989994).

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

45742086 is a wasteful number, since it uses less digits than its factorization.

45742086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195500 (or 195497 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45742086 is about 6763.2895842186. The cubic root of 45742086 is about 357.6338807741.

The spelling of 45742086 in words is "forty-five million, seven hundred forty-two thousand, eighty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 195479 390958 586437 1172874 1759311 2541227 3518622 5082454 7623681 15247362 22871043 45742086