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664753152 = 21037191627
BaseRepresentation
bin100111100111110…
…101010000000000
31201022211221220010
4213213311100000
52330134100102
6145543544520
722321210560
oct4747652000
91638757803
10664753152
11311265978
1216675b140
13a794b17b
1464400da0
153d55dd6c
hex279f5400

664753152 has 176 divisors, whose sum is σ = 2132810240. Its totient is φ = 179822592.

The previous prime is 664753151. The next prime is 664753157. The reversal of 664753152 is 251357466.

It is a self number, because there is not a number n which added to its sum of digits gives 664753152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664753151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 407763 + ... + 409389.

It is an arithmetic number, because the mean of its divisors is an integer number (12118240).

Almost surely, 2664753152 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 664753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066405120).

664753152 is an abundant number, since it is smaller than the sum of its proper divisors (1468057088).

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

664753152 is a wasteful number, since it uses less digits than its factorization.

664753152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1658 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 664753152 is about 25782.8072947846. The cubic root of 664753152 is about 872.7438592807.

The spelling of 664753152 in words is "six hundred sixty-four million, seven hundred fifty-three thousand, one hundred fifty-two".