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641025000 = 23325571137
BaseRepresentation
bin100110001101010…
…100001111101000
31122200012102222200
4212031110033220
52303100300000
6143335220200
721612423360
oct4615241750
91580172880
10641025000
112a9929630
1215a817660
13a2a60b45
14611c59a0
153b423500
hex263543e8

641025000 has 576 divisors, whose sum is σ = 2778572160. Its totient is φ = 129600000.

The previous prime is 641024981. The next prime is 641025013. The reversal of 641025000 is 520146.

It is a happy number.

641025000 is a `hidden beast` number, since 6 + 410 + 250 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17324982 + ... + 17325018.

It is an arithmetic number, because the mean of its divisors is an integer number (4823910).

Almost surely, 2641025000 is an apocalyptic number.

641025000 is a gapful number since it is divisible by the number (60) 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 641025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389286080).

641025000 is an abundant number, since it is smaller than the sum of its proper divisors (2137547160).

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

641025000 is a wasteful number, since it uses less digits than its factorization.

641025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 641025000 is about 25318.4715178464. The cubic root of 641025000 is about 862.2336921997.

Adding to 641025000 its reverse (520146), we get a palindrome (641545146).

The spelling of 641025000 in words is "six hundred forty-one million, twenty-five thousand".