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644923296 = 2534248813
BaseRepresentation
bin100110011100001…
…011111110100000
31122221112111110000
4212130023332200
52310100021141
6143554540000
721660520563
oct4634137640
91587474400
10644923296
11301051466
1215bb97600
13a37c7324
146191c4da
153b9435b6
hex2670bfa0

644923296 has 60 divisors (see below), whose sum is σ = 1896709122. Its totient is φ = 214973568.

The previous prime is 644923291. The next prime is 644923333. The reversal of 644923296 is 692329446.

644923296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 633226896 + 11696400 = 25164^2 + 3420^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (644923291) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 121815 + ... + 126998.

Almost surely, 2644923296 is an apocalyptic number.

It is an amenable number.

644923296 is an abundant number, since it is smaller than the sum of its proper divisors (1251785826).

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

644923296 is a wasteful number, since it uses less digits than its factorization.

644923296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248835 (or 248818 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 644923296 is about 25395.3400449768. The cubic root of 644923296 is about 863.9780086995.

The spelling of 644923296 in words is "six hundred forty-four million, nine hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 248813 497626 746439 995252 1492878 1990504 2239317 2985756 3981008 4478634 5971512 6717951 7962016 8957268 11943024 13435902 17914536 20153853 23886048 26871804 35829072 40307706 53743608 71658144 80615412 107487216 161230824 214974432 322461648 644923296