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641260544 = 2103120201
BaseRepresentation
bin100110001110001…
…101110000000000
31122200122102002112
4212032031300000
52303130314134
6143344234452
721614424161
oct4616156000
91580572075
10641260544
112a9a7a5a1
1215a90ba28
13a2b14112
1461247768
153b46d1ce
hex2638dc00

641260544 has 44 divisors (see below), whose sum is σ = 1323311808. Its totient is φ = 310272000.

The previous prime is 641260537. The next prime is 641260547. The reversal of 641260544 is 445062146.

It is a super-2 number, since 2×6412605442 = 822430170582351872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 641260544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641260547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21644 + ... + 41844.

Almost surely, 2641260544 is an apocalyptic number.

641260544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641260544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661655904).

641260544 is an abundant number, since it is smaller than the sum of its proper divisors (682051264).

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

641260544 is a wasteful number, since it uses less digits than its factorization.

641260544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20252 (or 20234 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 641260544 is about 25323.1227142310. The cubic root of 641260544 is about 862.3392882385.

The spelling of 641260544 in words is "six hundred forty-one million, two hundred sixty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 3968 7936 15872 20201 31744 40402 80804 161608 323216 626231 646432 1252462 1292864 2504924 2585728 5009848 5171456 10019696 10342912 20039392 20685824 40078784 80157568 160315136 320630272 641260544