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643987242 = 23231259631
BaseRepresentation
bin100110011000100…
…111011100101010
31122212202221102100
4212120213130222
52304330042432
6143522514230
721646541553
oct4630473452
91585687370
10643987242
11300572168
1215b805976
13a355a252
146175732a
153b80b07c
hex2662772a

643987242 has 72 divisors (see below), whose sum is σ = 1468527840. Its totient is φ = 203893200.

The previous prime is 643987231. The next prime is 643987243. The reversal of 643987242 is 242789346.

643987242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (643987243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1020267 + ... + 1020897.

It is an arithmetic number, because the mean of its divisors is an integer number (20396220).

Almost surely, 2643987242 is an apocalyptic number.

643987242 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 643987242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734263920).

643987242 is an abundant number, since it is smaller than the sum of its proper divisors (824540598).

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

643987242 is a wasteful number, since it uses less digits than its factorization.

643987242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 726 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 643987242 is about 25376.9037118400. The cubic root of 643987242 is about 863.5598082404.

The spelling of 643987242 in words is "six hundred forty-three million, nine hundred eighty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 59 62 93 118 177 186 279 354 531 558 631 961 1062 1262 1829 1893 1922 2883 3658 3786 5487 5679 5766 8649 10974 11358 16461 17298 19561 32922 37229 39122 56699 58683 74458 111687 113398 117366 170097 176049 223374 335061 340194 352098 510291 606391 670122 1020582 1154099 1212782 1819173 2308198 3462297 3638346 5457519 6924594 10386891 10915038 20773782 35777069 71554138 107331207 214662414 321993621 643987242