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641005056 = 293389521
BaseRepresentation
bin100110001101001…
…111011000000000
31122200011102122000
4212031033120000
52303044130211
6143334544000
721612311256
oct4615173000
91580142560
10641005056
112a991564a
1215a808000
13a2a54a43
14611bc5d6
153b41c656
hex2634f600

641005056 has 160 divisors (see below), whose sum is σ = 1922421600. Its totient is φ = 210862080.

The previous prime is 641005051. The next prime is 641005061. The reversal of 641005056 is 650500146.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (641005051) and next prime (641005061).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641005051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1230076 + ... + 1230596.

It is an arithmetic number, because the mean of its divisors is an integer number (12015135).

Almost surely, 2641005056 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 641005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961210800).

641005056 is an abundant number, since it is smaller than the sum of its proper divisors (1281416544).

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

641005056 is an equidigital number, since it uses as much as digits as its factorization.

641005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 641005056 is about 25318.0776521441. The cubic root of 641005056 is about 862.2247499759.

The spelling of 641005056 in words is "six hundred forty-one million, five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 89 96 108 128 144 178 192 216 256 267 288 356 384 432 512 521 534 576 712 768 801 864 1042 1068 1152 1424 1536 1563 1602 1728 2084 2136 2304 2403 2848 3126 3204 3456 4168 4272 4608 4689 4806 5696 6252 6408 6912 8336 8544 9378 9612 11392 12504 12816 13824 14067 16672 17088 18756 19224 22784 25008 25632 28134 33344 34176 37512 38448 45568 46369 50016 51264 56268 66688 68352 75024 76896 92738 100032 102528 112536 133376 136704 139107 150048 153792 185476 200064 205056 225072 266752 278214 300096 307584 370952 400128 410112 417321 450144 556428 600192 615168 741904 800256 834642 900288 1112856 1200384 1230336 1251963 1483808 1669284 1800576 2225712 2400768 2503926 2967616 3338568 3601152 4451424 5007852 5935232 6677136 7202304 8902848 10015704 11870464 13354272 17805696 20031408 23740928 26708544 35611392 40062816 53417088 71222784 80125632 106834176 160251264 213668352 320502528 641005056