Search a number
-
+
45516642 = 2341185027
BaseRepresentation
bin1010110110100…
…0011101100010
310011122111002120
42231220131202
543123013032
64303325110
71061612403
oct255503542
9104574076
1045516642
1123769366
12132b0796
139578832
14608b9aa
153ee162c
hex2b68762

45516642 has 16 divisors (see below), whose sum is σ = 93254112. Its totient is φ = 14802080.

The previous prime is 45516641. The next prime is 45516643. The reversal of 45516642 is 24661554.

45516642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45516641) and next prime (45516643).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (45516641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 92268 + ... + 92759.

It is an arithmetic number, because the mean of its divisors is an integer number (5828382).

Almost surely, 245516642 is an apocalyptic number.

45516642 is an abundant number, since it is smaller than the sum of its proper divisors (47737470).

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

45516642 is a wasteful number, since it uses less digits than its factorization.

45516642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185073.

The product of its digits is 28800, while the sum is 33.

The square root of 45516642 is about 6746.6022559508. The cubic root of 45516642 is about 357.0453692468.

The spelling of 45516642 in words is "forty-five million, five hundred sixteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 41 82 123 246 185027 370054 555081 1110162 7586107 15172214 22758321 45516642