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1444309592 = 2311314991061
BaseRepresentation
bin101011000010110…
…0110101001011000
310201122201112021212
41112011212221120
510424220401332
6355152322252
750535300065
oct12605465130
93648645255
101444309592
116813031a0
12343843388
131a02c3a7b
14d9b67c6c
1586be88b2
hex56166a58

1444309592 has 64 divisors (see below), whose sum is σ = 3058560000. Its totient is φ = 633456000.

The previous prime is 1444309589. The next prime is 1444309609. The reversal of 1444309592 is 2959034441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1360742 + ... + 1361802.

It is an arithmetic number, because the mean of its divisors is an integer number (47790000).

Almost surely, 21444309592 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 1444309592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529280000).

1444309592 is an abundant number, since it is smaller than the sum of its proper divisors (1614250408).

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

1444309592 is a wasteful number, since it uses less digits than its factorization.

1444309592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 1444309592 is about 38004.0733606281. The cubic root of 1444309592 is about 1130.3686353084.

The spelling of 1444309592 in words is "one billion, four hundred forty-four million, three hundred nine thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 499 682 998 1061 1364 1996 2122 2728 3992 4244 5489 8488 10978 11671 15469 21956 23342 30938 32891 43912 46684 61876 65782 93368 123752 131564 170159 263128 340318 361801 529439 680636 723602 1058878 1361272 1447204 2117756 2894408 4235512 5823829 11647658 16412609 23295316 32825218 46590632 65650436 131300872 180538699 361077398 722154796 1444309592