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45079344 = 2432367853
BaseRepresentation
bin1010101111110…
…1101100110000
310010211021020100
42223331230300
543020014334
64250112400
71055111442
oct253755460
9103737210
1045079344
112349a862
121311b700
13945478b
145db6492
153e56c99
hex2afdb30

45079344 has 60 divisors (see below), whose sum is σ = 126651616. Its totient is φ = 14967936.

The previous prime is 45079339. The next prime is 45079361. The reversal of 45079344 is 44397054.

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

It is a junction number, because it is equal to n+sod(n) for n = 45079299 and 45079308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52422 + ... + 53274.

Almost surely, 245079344 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 45079344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63325808).

45079344 is an abundant number, since it is smaller than the sum of its proper divisors (81572272).

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

45079344 is a wasteful number, since it uses less digits than its factorization.

45079344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 45079344 is about 6714.1152805116. The cubic root of 45079344 is about 355.8982581791.

The spelling of 45079344 in words is "forty-five million, seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 367 734 853 1101 1468 1706 2202 2559 2936 3303 3412 4404 5118 5872 6606 6824 7677 8808 10236 13212 13648 15354 17616 20472 26424 30708 40944 52848 61416 122832 313051 626102 939153 1252204 1878306 2504408 2817459 3756612 5008816 5634918 7513224 11269836 15026448 22539672 45079344