Search a number
-
+
45719136 = 2532158747
BaseRepresentation
bin1010111001100…
…1111001100000
310012000202212100
42232121321200
543201003021
64311530400
71063414641
oct256317140
9105022770
1045719136
1123897511
1213389a00
139619a58
1461016c8
154031626
hex2b99e60

45719136 has 36 divisors (see below), whose sum is σ = 130014612. Its totient is φ = 15239616.

The previous prime is 45719123. The next prime is 45719143. The reversal of 45719136 is 63191754.

45719136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 45719136.

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 5 ways as a sum of consecutive naturals, for example, 79086 + ... + 79661.

It is an arithmetic number, because the mean of its divisors is an integer number (3611517).

Almost surely, 245719136 is an apocalyptic number.

It is an amenable number.

45719136 is an abundant number, since it is smaller than the sum of its proper divisors (84295476).

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

45719136 is a wasteful number, since it uses less digits than its factorization.

45719136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158763 (or 158752 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 45719136 is about 6761.5927117803. The cubic root of 45719136 is about 357.5740593468.

The spelling of 45719136 in words is "forty-five million, seven hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 158747 317494 476241 634988 952482 1269976 1428723 1904964 2539952 2857446 3809928 5079904 5714892 7619856 11429784 15239712 22859568 45719136