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641572064 = 25725111411
BaseRepresentation
bin100110001111011…
…001110011100000
31122201020020102022
4212033121303200
52303220301224
6143355041012
721620162330
oct4617316340
91581206368
10641572064
112aa172651
1215aa40168
13a2bc2b53
14612c90c0
153b4d065e
hex263d9ce0

641572064 has 48 divisors (see below), whose sum is σ = 1449415296. Its totient is φ = 273840000.

The previous prime is 641572039. The next prime is 641572081. The reversal of 641572064 is 460275146.

641572064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6415720642 = 823229426610440192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50519 + ... + 61929.

It is an arithmetic number, because the mean of its divisors is an integer number (30196152).

Almost surely, 2641572064 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 641572064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724707648).

641572064 is an abundant number, since it is smaller than the sum of its proper divisors (807843232).

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

641572064 is a wasteful number, since it uses less digits than its factorization.

641572064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11679 (or 11671 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 641572064 is about 25329.2728675736. The cubic root of 641572064 is about 862.4789051481.

The spelling of 641572064 in words is "six hundred forty-one million, five hundred seventy-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 251 502 1004 1757 2008 3514 4016 7028 8032 11411 14056 22822 28112 45644 56224 79877 91288 159754 182576 319508 365152 639016 1278032 2556064 2864161 5728322 11456644 20049127 22913288 40098254 45826576 80196508 91653152 160393016 320786032 641572064