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640575468 = 2232132814871
BaseRepresentation
bin100110001011100…
…110011111101100
31122122100121100100
4212023212133230
52302441403333
6143321431100
721605541651
oct4613463754
91578317310
10640575468
112a9651915
1215a63b490
13a2934350
1461109c28
153b385213
hex262e67ec

640575468 has 72 divisors (see below), whose sum is σ = 1750353696. Its totient is φ = 196358400.

The previous prime is 640575401. The next prime is 640575473. The reversal of 640575468 is 864575046.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 129073 + ... + 133943.

It is an arithmetic number, because the mean of its divisors is an integer number (24310468).

Almost surely, 2640575468 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 640575468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875176848).

640575468 is an abundant number, since it is smaller than the sum of its proper divisors (1109778228).

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

640575468 is a wasteful number, since it uses less digits than its factorization.

640575468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 640575468 is about 25309.5924107837. The cubic root of 640575468 is about 862.0320920146.

The spelling of 640575468 in words is "six hundred forty million, five hundred seventy-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 281 468 562 843 1124 1686 2529 3372 3653 4871 5058 7306 9742 10116 10959 14612 14613 19484 21918 29226 32877 43836 43839 58452 63323 65754 87678 126646 131508 175356 189969 253292 379938 569907 759876 1139814 1368751 2279628 2737502 4106253 5475004 8212506 12318759 16425012 17793763 24637518 35587526 49275036 53381289 71175052 106762578 160143867 213525156 320287734 640575468