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372485664 = 25326471999
BaseRepresentation
bin10110001100111…
…010111000100000
3221221220020021100
4112030322320200
51230324020124
6100543354400
712142035015
oct2614727040
9857806240
10372485664
11181292aa1
12a48b2a00
135c229b25
143768170c
1522a7b1c9
hex1633ae20

372485664 has 72 divisors (see below), whose sum is σ = 1061424000. Its totient is φ = 123907968.

The previous prime is 372485653. The next prime is 372485681. The reversal of 372485664 is 466584273.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 185337 + ... + 187335.

It is an arithmetic number, because the mean of its divisors is an integer number (14742000).

Almost surely, 2372485664 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 372485664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530712000).

372485664 is an abundant number, since it is smaller than the sum of its proper divisors (688938336).

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

372485664 is a wasteful number, since it uses less digits than its factorization.

372485664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2651 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 372485664 is about 19299.8876680669. The cubic root of 372485664 is about 719.5094807113.

The spelling of 372485664 in words is "three hundred seventy-two million, four hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 647 1294 1941 1999 2588 3882 3998 5176 5823 5997 7764 7996 10352 11646 11994 15528 15992 17991 20704 23292 23988 31056 31984 35982 46584 47976 62112 63968 71964 93168 95952 143928 186336 191904 287856 575712 1293353 2586706 3880059 5173412 7760118 10346824 11640177 15520236 20693648 23280354 31040472 41387296 46560708 62080944 93121416 124161888 186242832 372485664