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45043344 = 2433127821
BaseRepresentation
bin1010101111010…
…0111010010000
310010202102212000
42223310322100
543012341334
64245234000
71054601463
oct253647220
9103672760
1045043344
1123475805
1213102900
139441288
145da72da
153e4b299
hex2af4e90

45043344 has 80 divisors (see below), whose sum is σ = 130467840. Its totient is φ = 14878080.

The previous prime is 45043337. The next prime is 45043399. The reversal of 45043344 is 44334054.

45043344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54454 + ... + 55274.

It is an arithmetic number, because the mean of its divisors is an integer number (1630848).

Almost surely, 245043344 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 45043344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65233920).

45043344 is an abundant number, since it is smaller than the sum of its proper divisors (85424496).

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

45043344 is a wasteful number, since it uses less digits than its factorization.

45043344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 45043344 is about 6711.4338259421. The cubic root of 45043344 is about 355.8034937905.

Adding to 45043344 its reverse (44334054), we get a palindrome (89377398).

The spelling of 45043344 in words is "forty-five million, forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 762 821 1016 1143 1524 1642 2032 2286 2463 3048 3284 3429 4572 4926 6096 6568 6858 7389 9144 9852 13136 13716 14778 18288 19704 22167 27432 29556 39408 44334 54864 59112 88668 104267 118224 177336 208534 312801 354672 417068 625602 834136 938403 1251204 1668272 1876806 2502408 2815209 3753612 5004816 5630418 7507224 11260836 15014448 22521672 45043344