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644906025 = 325216932
BaseRepresentation
bin100110011100000…
…111110000101001
31122221111121202100
4212130013300221
52310043443100
6143554324013
721660416331
oct4634076051
91587447670
10644906025
1130103a495
1215bb89609
13a37bc4ca
14619160c1
153b93d400
hex26707c29

644906025 has 27 divisors (see below), whose sum is σ = 1155781029. Its totient is φ = 343746720.

The previous prime is 644905951. The next prime is 644906047. The reversal of 644906025 is 520609446.

The square root of 644906025 is 25395.

It is a perfect power (a square), and thus also a powerful number.

644906025 is a `hidden beast` number, since 6 + 4 + 49 + 0 + 602 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43283241 + 601622784 = 6579^2 + 24528^2 .

It is not a de Polignac number, because 644906025 - 225 = 611351593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 380079 + ... + 381771.

Almost surely, 2644906025 is an apocalyptic number.

644906025 is the 25395-th square number.

644906025 is the 12698-th centered octagonal number.

It is an amenable number.

644906025 is a deficient number, since it is larger than the sum of its proper divisors (510875004).

644906025 is an equidigital number, since it uses as much as digits as its factorization.

644906025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 644906025 is about 863.9702962075.

Multiplying 644906025 by its sum of digits (36), we get a square (23216616900 = 1523702).

The spelling of 644906025 in words is "six hundred forty-four million, nine hundred six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1693 5079 8465 15237 25395 42325 76185 126975 380925 2866249 8598747 14331245 25796241 42993735 71656225 128981205 214968675 644906025