Search a number
-
+
45108144 = 2433104417
BaseRepresentation
bin1010110000010…
…0101110110000
310010212201202000
42230010232300
543021430034
64250454000
71055261424
oct254045660
9103781660
1045108144
112350a464
1213134300
139464913
145dc2b84
153e60599
hex2b04bb0

45108144 has 40 divisors (see below), whose sum is σ = 129478320. Its totient is φ = 15035904.

The previous prime is 45108139. The next prime is 45108163. The reversal of 45108144 is 44180154.

It is a happy number.

45108144 is a `hidden beast` number, since 4 + 510 + 8 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51777 + ... + 52640.

It is an arithmetic number, because the mean of its divisors is an integer number (3236958).

Almost surely, 245108144 is an apocalyptic number.

It is an amenable number.

45108144 is an abundant number, since it is smaller than the sum of its proper divisors (84370176).

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

45108144 is a wasteful number, since it uses less digits than its factorization.

45108144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104434 (or 104422 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 45108144 is about 6716.2596733599. The cubic root of 45108144 is about 355.9740333709.

Adding to 45108144 its reverse (44180154), we get a palindrome (89288298).

The spelling of 45108144 in words is "forty-five million, one hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 104417 208834 313251 417668 626502 835336 939753 1253004 1670672 1879506 2506008 2819259 3759012 5012016 5638518 7518024 11277036 15036048 22554072 45108144