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664922592 = 253210122859
BaseRepresentation
bin100111101000011…
…110100111100000
31201100011120022200
4213220132213200
52330210010332
6145551333200
722322514555
oct4750364740
91640146280
10664922592
11311371204
12166821200
13a79aa329
1464446a2c
153d59417c
hex27a1e9e0

664922592 has 72 divisors (see below), whose sum is σ = 1909678680. Its totient is φ = 219436800.

The previous prime is 664922579. The next prime is 664922641. The reversal of 664922592 is 295229466.

664922592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 17659 + ... + 40517.

It is an arithmetic number, because the mean of its divisors is an integer number (26523315).

Almost surely, 2664922592 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 664922592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954839340).

664922592 is an abundant number, since it is smaller than the sum of its proper divisors (1244756088).

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

664922592 is a wasteful number, since it uses less digits than its factorization.

664922592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22976 (or 22965 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 664922592 is about 25786.0929960318. The cubic root of 664922592 is about 872.8180046767.

It can be divided in two parts, 6649 and 22592, that added together give a square (29241 = 1712).

The spelling of 664922592 in words is "six hundred sixty-four million, nine hundred twenty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 1212 1616 1818 2424 3232 3636 4848 7272 9696 14544 22859 29088 45718 68577 91436 137154 182872 205731 274308 365744 411462 548616 731488 822924 1097232 1645848 2194464 2308759 3291696 4617518 6583392 6926277 9235036 13852554 18470072 20778831 27705108 36940144 41557662 55410216 73880288 83115324 110820432 166230648 221640864 332461296 664922592