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664520832 = 27323971453
BaseRepresentation
bin100111100110111…
…100100010000000
31201022102011012200
4213212330202000
52330104131312
6145534553200
722316222343
oct4746744200
91638364180
10664520832
11311117378
12166668800
13a78994c1
146438045a
153d5150dc
hex279bc880

664520832 has 96 divisors (see below), whose sum is σ = 1918363980. Its totient is φ = 220796928.

The previous prime is 664520797. The next prime is 664520833. The reversal of 664520832 is 238025466.

664520832 is a `hidden beast` number, since 6 + 645 + 2 + 0 + 8 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 563397696 + 101123136 = 23736^2 + 10056^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×6645208323 (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 (664520833) 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 11 ways as a sum of consecutive naturals, for example, 456618 + ... + 458070.

Almost surely, 2664520832 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 664520832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959181990).

664520832 is an abundant number, since it is smaller than the sum of its proper divisors (1253843148).

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

664520832 is a wasteful number, since it uses less digits than its factorization.

664520832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1855 counting only the distinct ones).

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

The square root of 664520832 is about 25778.3015732224. The cubic root of 664520832 is about 872.6421776879.

The spelling of 664520832 in words is "six hundred sixty-four million, five hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 397 576 794 1152 1191 1453 1588 2382 2906 3176 3573 4359 4764 5812 6352 7146 8718 9528 11624 12704 13077 14292 17436 19056 23248 25408 26154 28584 34872 38112 46496 50816 52308 57168 69744 76224 92992 104616 114336 139488 152448 185984 209232 228672 278976 418464 457344 557952 576841 836928 1153682 1673856 1730523 2307364 3461046 4614728 5191569 6922092 9229456 10383138 13844184 18458912 20766276 27688368 36917824 41532552 55376736 73835648 83065104 110753472 166130208 221506944 332260416 664520832