Search a number
-
+
641242500 = 22354193443
BaseRepresentation
bin100110001110001…
…001010110000100
31122200121111100020
4212032021112010
52303124230000
6143344015140
721614320443
oct4616112604
91580544306
10641242500
112a9a67a88
1215a9014b0
13a2b08b42
1461240d5a
153b467ba0
hex26389584

641242500 has 120 divisors (see below), whose sum is σ = 1883622048. Its totient is φ = 169728000.

The previous prime is 641242487. The next prime is 641242541. The reversal of 641242500 is 5242146.

It is a super-2 number, since 2×6412425002 = 822383887612500000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1447279 + ... + 1447721.

Almost surely, 2641242500 is an apocalyptic number.

641242500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641242500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941811024).

641242500 is an abundant number, since it is smaller than the sum of its proper divisors (1242379548).

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

641242500 is a wasteful number, since it uses less digits than its factorization.

641242500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 641242500 is about 25322.7664365488. The cubic root of 641242500 is about 862.3311999005.

Adding to 641242500 its reverse (5242146), we get a palindrome (646484646).

The spelling of 641242500 in words is "six hundred forty-one million, two hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 193 250 300 375 386 443 500 579 625 750 772 886 965 1158 1250 1329 1500 1772 1875 1930 2215 2316 2500 2658 2895 3750 3860 4430 4825 5316 5790 6645 7500 8860 9650 11075 11580 13290 14475 19300 22150 24125 26580 28950 33225 44300 48250 55375 57900 66450 72375 85499 96500 110750 120625 132900 144750 166125 170998 221500 241250 256497 276875 289500 332250 341996 361875 427495 482500 512994 553750 664500 723750 830625 854990 1025988 1107500 1282485 1447500 1661250 1709980 2137475 2564970 3322500 4274950 5129940 6412425 8549900 10687375 12824850 21374750 25649700 32062125 42749500 53436875 64124250 106873750 128248500 160310625 213747500 320621250 641242500