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664264480 = 25511596397
BaseRepresentation
bin100111100101111…
…101111100100000
31201021221010120011
4213211331330200
52330022430410
6145525254304
722314104065
oct4745757440
91637833504
10664264480
11310a61810
12166564394
13a7809909
1464314c6c
153d4b418a
hex2797df20

664264480 has 96 divisors (see below), whose sum is σ = 1741279680. Its totient is φ = 237419520.

The previous prime is 664264463. The next prime is 664264487. The reversal of 664264480 is 84462466.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (664264487) 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 15 ways as a sum of consecutive naturals, for example, 100642 + ... + 107038.

It is an arithmetic number, because the mean of its divisors is an integer number (18138330).

Almost surely, 2664264480 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 664264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870639840).

664264480 is an abundant number, since it is smaller than the sum of its proper divisors (1077015200).

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

664264480 is a wasteful number, since it uses less digits than its factorization.

664264480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 664264480 is about 25773.3288498013. The cubic root of 664264480 is about 872.5299502859.

The spelling of 664264480 in words is "six hundred sixty-four million, two hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 59 80 88 110 118 160 176 220 236 295 352 440 472 590 649 880 944 1180 1298 1760 1888 2360 2596 3245 4720 5192 6397 6490 9440 10384 12794 12980 20768 25588 25960 31985 51176 51920 63970 70367 102352 103840 127940 140734 204704 255880 281468 351835 377423 511760 562936 703670 754846 1023520 1125872 1407340 1509692 1887115 2251744 2814680 3019384 3774230 4151653 5629360 6038768 7548460 8303306 11258720 12077536 15096920 16606612 20758265 30193840 33213224 41516530 60387680 66426448 83033060 132852896 166066120 332132240 664264480