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641986880 = 2655337853
BaseRepresentation
bin100110010000111…
…111000101000000
31122202000022102212
4212100333011000
52303322040010
6143412001252
721623540603
oct4620770500
91582008385
10641986880
112aa426277
1215b000228
13a30098c2
146139633a
153b563505
hex2643f140

641986880 has 56 divisors (see below), whose sum is σ = 1557616392. Its totient is φ = 251942912.

The previous prime is 641986871. The next prime is 641986883. The reversal of 641986880 is 88689146.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3717184 + 638269696 = 1928^2 + 25264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641986883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1967 + ... + 35886.

Almost surely, 2641986880 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 641986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778808196).

641986880 is an abundant number, since it is smaller than the sum of its proper divisors (915629512).

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

641986880 is a wasteful number, since it uses less digits than its factorization.

641986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37923 (or 37913 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

The square root of 641986880 is about 25337.4600147686. The cubic root of 641986880 is about 862.6647470774.

The spelling of 641986880 in words is "six hundred forty-one million, nine hundred eighty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 848 1060 1696 2120 3392 4240 8480 16960 37853 75706 151412 189265 302824 378530 605648 757060 1211296 1514120 2006209 2422592 3028240 4012418 6056480 8024836 10031045 12112960 16049672 20062090 32099344 40124180 64198688 80248360 128397376 160496720 320993440 641986880