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664028352 = 263213711249
BaseRepresentation
bin100111100101000…
…100010011000000
31201021111010122200
4213211010103000
52324442401402
6145520233200
722312101501
oct4745042300
91637433580
10664028352
11310910369
1216646b800
13a77562b0
1464292ba8
153d46921c
hex279444c0

664028352 has 168 divisors, whose sum is σ = 2080260000. Its totient is φ = 201277440.

The previous prime is 664028329. The next prime is 664028353. The reversal of 664028352 is 253820466.

664028352 is a `hidden beast` number, since 6 + 640 + 2 + 8 + 3 + 5 + 2 = 666.

It is a super-3 number, since 3×6640283523 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (664028353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531024 + ... + 532272.

It is an arithmetic number, because the mean of its divisors is an integer number (12382500).

Almost surely, 2664028352 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 664028352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040130000).

664028352 is an abundant number, since it is smaller than the sum of its proper divisors (1416231648).

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

664028352 is a wasteful number, since it uses less digits than its factorization.

664028352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 664028352 is about 25768.7475830705. The cubic root of 664028352 is about 872.4265511251.

The spelling of 664028352 in words is "six hundred sixty-four million, twenty-eight thousand, three hundred fifty-two".