Search a number
-
+
44790984 = 23327181491
BaseRepresentation
bin1010101011011…
…1010011001000
310010021121200100
42222313103020
542431302414
64240005400
71052500650
oct252672310
9103247610
1044790984
1123313147
1213000860
139383454
145d3d360
153deb609
hex2ab74c8

44790984 has 96 divisors (see below), whose sum is σ = 139688640. Its totient is φ = 12700800.

The previous prime is 44790973. The next prime is 44791057. The reversal of 44790984 is 48909744.

44790984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 90979 + ... + 91469.

It is an arithmetic number, because the mean of its divisors is an integer number (1455090).

Almost surely, 244790984 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 44790984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69844320).

44790984 is an abundant number, since it is smaller than the sum of its proper divisors (94897656).

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

44790984 is a wasteful number, since it uses less digits than its factorization.

44790984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 44790984 is about 6692.6066670618. The cubic root of 44790984 is about 355.1377736745.

The spelling of 44790984 in words is "forty-four million, seven hundred ninety thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 181 252 362 491 504 543 724 982 1086 1267 1448 1473 1629 1964 2172 2534 2946 3258 3437 3801 3928 4344 4419 5068 5892 6516 6874 7602 8838 10136 10311 11403 11784 13032 13748 15204 17676 20622 22806 27496 30408 30933 35352 41244 45612 61866 82488 88871 91224 123732 177742 247464 266613 355484 533226 622097 710968 799839 1066452 1244194 1599678 1866291 2132904 2488388 3199356 3732582 4976776 5598873 6398712 7465164 11197746 14930328 22395492 44790984