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643313552 = 24721922273
BaseRepresentation
bin100110010110000…
…010111110010000
31122211111201021212
4212112002332100
52304142013202
6143500235252
721641034500
oct4626027620
91584451255
10643313552
11300151aa2
1215b53bb28
13a338270b
146161da00
153b726652
hex26582f90

643313552 has 90 divisors (see below), whose sum is σ = 1530918198. Its totient is φ = 261080064.

The previous prime is 643313549. The next prime is 643313563. The reversal of 643313552 is 255313346.

It can be written as a sum of positive squares in only one way, i.e., 625200016 + 18113536 = 25004^2 + 4256^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 281888 + ... + 284160.

Almost surely, 2643313552 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 643313552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765459099).

643313552 is an abundant number, since it is smaller than the sum of its proper divisors (887604646).

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

643313552 is a wasteful number, since it uses less digits than its factorization.

643313552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2301 counting only the distinct ones).

The product of its digits is 32400, while the sum is 32.

The square root of 643313552 is about 25363.6265545761. The cubic root of 643313552 is about 863.2585731871.

Adding to 643313552 its reverse (255313346), we get a palindrome (898626898).

The spelling of 643313552 in words is "six hundred forty-three million, three hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 361 392 532 722 784 931 1064 1444 1862 2128 2273 2527 2888 3724 4546 5054 5776 7448 9092 10108 14896 15911 17689 18184 20216 31822 35378 36368 40432 43187 63644 70756 86374 111377 127288 141512 172748 222754 254576 283024 302309 345496 445508 604618 690992 820553 891016 1209236 1641106 1782032 2116163 2418472 3282212 4232326 4836944 5743871 6564424 8464652 11487742 13128848 16929304 22975484 33858608 40207097 45950968 80414194 91901936 160828388 321656776 643313552