Search a number
-
+
641129502 = 231319222769
BaseRepresentation
bin100110001101101…
…101110000011110
31122200101202100010
4212031231300132
52303112121002
6143341344050
721613340136
oct4615556036
91580352303
10641129502
112a99a00a2
1215a868026
13a2a99590
1461211ac6
153b44446c
hex2636dc1e

641129502 has 48 divisors (see below), whose sum is σ = 1457462160. Its totient is φ = 186879744.

The previous prime is 641129501. The next prime is 641129537. The reversal of 641129502 is 205921146.

It is a super-2 number, since 2×6411295022 = 822094076669536008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 641129502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641129501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16774 + ... + 39542.

It is an arithmetic number, because the mean of its divisors is an integer number (30363795).

Almost surely, 2641129502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641129502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728731080).

641129502 is an abundant number, since it is smaller than the sum of its proper divisors (816332658).

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

641129502 is a wasteful number, since it uses less digits than its factorization.

641129502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22825 (or 22806 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 641129502 is about 25320.5351839174. The cubic root of 641129502 is about 862.2805443762.

The spelling of 641129502 in words is "six hundred forty-one million, one hundred twenty-nine thousand, five hundred two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 361 494 722 741 1083 1482 2166 4693 9386 14079 22769 28158 45538 68307 136614 295997 432611 591994 865222 887991 1297833 1775982 2595666 5623943 8219609 11247886 16439218 16871829 24658827 33743658 49317654 106854917 213709834 320564751 641129502