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664795456 = 26134191907
BaseRepresentation
bin100111100111111…
…111100101000000
31201022221002220221
4213213333211000
52330141423311
6145544512424
722321445113
oct4747774500
91638832827
10664795456
11311294736
1216677b714
13a79644c0
146441257a
153d56b671
hex279ff940

664795456 has 56 divisors (see below), whose sum is σ = 1424818080. Its totient is φ = 305935872.

The previous prime is 664795441. The next prime is 664795459. The reversal of 664795456 is 654597466.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664795459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347655 + ... + 349561.

It is an arithmetic number, because the mean of its divisors is an integer number (25443180).

Almost surely, 2664795456 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 664795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712409040).

664795456 is an abundant number, since it is smaller than the sum of its proper divisors (760022624).

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

664795456 is a wasteful number, since it uses less digits than its factorization.

664795456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2341 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 52.

The square root of 664795456 is about 25783.6276733899. The cubic root of 664795456 is about 872.7623723047.

The spelling of 664795456 in words is "six hundred sixty-four million, seven hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 419 832 838 1676 1907 3352 3814 5447 6704 7628 10894 13408 15256 21788 24791 26816 30512 43576 49582 61024 87152 99164 122048 174304 198328 348608 396656 793312 799033 1586624 1598066 3196132 6392264 10387429 12784528 20774858 25569056 41549716 51138112 83099432 166198864 332397728 664795456