Search a number
-
+
641491136 = 261113292417
BaseRepresentation
bin100110001111000…
…110000011000000
31122201002010101222
4212033012003000
52303210204021
6143353214212
721616404356
oct4617060300
91581063358
10641491136
112aa117870
1215aa01368
13a2b95070
14612a77d6
153b4b66ab
hex263c60c0

641491136 has 112 divisors (see below), whose sum is σ = 1547713440. Its totient is φ = 259768320.

The previous prime is 641491133. The next prime is 641491159. The reversal of 641491136 is 631194146.

It is a junction number, because it is equal to n+sod(n) for n = 641491096 and 641491105.

It is not an unprimeable number, because it can be changed into a prime (641491133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264200 + ... + 266616.

It is an arithmetic number, because the mean of its divisors is an integer number (13818870).

Almost surely, 2641491136 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 641491136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773856720).

641491136 is an abundant number, since it is smaller than the sum of its proper divisors (906222304).

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

641491136 is a wasteful number, since it uses less digits than its factorization.

641491136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2472 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 641491136 is about 25327.6752979819. The cubic root of 641491136 is about 862.4426392155.

The spelling of 641491136 in words is "six hundred forty-one million, four hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 26 29 32 44 52 58 64 88 104 116 143 176 208 232 286 319 352 377 416 464 572 638 704 754 832 928 1144 1276 1508 1856 2288 2417 2552 3016 4147 4576 4834 5104 6032 8294 9152 9668 10208 12064 16588 19336 20416 24128 26587 31421 33176 38672 53174 62842 66352 70093 77344 106348 125684 132704 140186 154688 212696 251368 265408 280372 345631 425392 502736 560744 691262 771023 850784 911209 1005472 1121488 1382524 1542046 1701568 1822418 2010944 2242976 2765048 3084092 3644836 4485952 5530096 6168184 7289672 10023299 11060192 12336368 14579344 20046598 22120384 24672736 29158688 40093196 49345472 58317376 80186392 160372784 320745568 641491136