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664992576 = 26325692029
BaseRepresentation
bin100111101000101…
…111101101000000
31201100022010022200
4213220233231000
52330214230301
6145553033200
722323225603
oct4750575500
91640263280
10664992576
11311409846
12166855800
13a7a03141
146446433a
153d5a9c86
hex27a2fb40

664992576 has 84 divisors (see below), whose sum is σ = 1910372100. Its totient is φ = 221165568.

The previous prime is 664992557. The next prime is 664992709. The reversal of 664992576 is 675299466.

664992576 is a `hidden beast` number, since 6 + 64 + 9 + 9 + 2 + 576 = 666.

664992576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 439992576 + 225000000 = 20976^2 + 15000^2 .

It is a super-2 number, since 2×6649925762 = 884430252270231552, which contains 22 as substring.

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, 326730 + ... + 328758.

It is an arithmetic number, because the mean of its divisors is an integer number (22742525).

Almost surely, 2664992576 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 664992576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955186050).

664992576 is an abundant number, since it is smaller than the sum of its proper divisors (1245379524).

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

664992576 is a wasteful number, since it uses less digits than its factorization.

664992576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2603 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 664992576 is about 25787.4499708676. The cubic root of 664992576 is about 872.8486253600.

It can be divided in two parts, 6649 and 92576, that added together give a square (99225 = 3152).

The spelling of 664992576 in words is "six hundred sixty-four million, nine hundred ninety-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 569 576 1138 1707 2029 2276 3414 4058 4552 5121 6087 6828 8116 9104 10242 12174 13656 16232 18208 18261 20484 24348 27312 32464 36416 36522 40968 48696 54624 64928 73044 81936 97392 109248 129856 146088 163872 194784 292176 327744 389568 584352 1154501 1168704 2309002 3463503 4618004 6927006 9236008 10390509 13854012 18472016 20781018 27708024 36944032 41562036 55416048 73888064 83124072 110832096 166248144 221664192 332496288 664992576