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664853376 = 27311241349
BaseRepresentation
bin100111101000001…
…101101110000000
31201100001001101010
4213220031232000
52330200302001
6145550040520
722322106015
oct4750155600
91640031333
10664853376
11311324200
121667a9140
13a7984985
146442970c
153d57d8d6
hex27a0db80

664853376 has 192 divisors, whose sum is σ = 1994202000. Its totient is φ = 195993600.

The previous prime is 664853317. The next prime is 664853393. The reversal of 664853376 is 673358466.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1904850 + ... + 1905198.

Almost surely, 2664853376 is an apocalyptic number.

664853376 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664853376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997101000).

664853376 is an abundant number, since it is smaller than the sum of its proper divisors (1329348624).

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

664853376 is a wasteful number, since it uses less digits than its factorization.

664853376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 406 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The square root of 664853376 is about 25784.7508423099. The cubic root of 664853376 is about 872.7877179094.

The spelling of 664853376 in words is "six hundred sixty-four million, eight hundred fifty-three thousand, three hundred seventy-six".