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644005407 = 3172967297
BaseRepresentation
bin100110011000101…
…011111000011111
31122212210212100010
4212120223320133
52304331133112
6143523134303
721646645533
oct4630537037
91585725303
10644005407
11300584881
1215b814393
13a35655b6
146175dbc3
153b81163c
hex2662be1f

644005407 has 48 divisors (see below), whose sum is σ = 964625760. Its totient is φ = 380362752.

The previous prime is 644005403. The next prime is 644005423. The reversal of 644005407 is 704500446.

It is not a de Polignac number, because 644005407 - 22 = 644005403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644005403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6639183 + ... + 6639279.

It is an arithmetic number, because the mean of its divisors is an integer number (20096370).

Almost surely, 2644005407 is an apocalyptic number.

644005407 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

644005407 is a deficient number, since it is larger than the sum of its proper divisors (320620353).

644005407 is a wasteful number, since it uses less digits than its factorization.

644005407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 644005407 is about 25377.2616134996. The cubic root of 644005407 is about 863.5679276644.

The spelling of 644005407 in words is "six hundred forty-four million, five thousand, four hundred seven".

Divisors: 1 3 17 29 51 67 87 97 201 291 493 1139 1479 1649 1943 2813 3417 4489 4947 5829 6499 8439 13467 19497 33031 47821 76313 99093 110483 130181 143463 188471 228939 331449 390543 435433 565413 1306299 2213077 3204007 6639231 7402361 9612021 12627557 22207083 37882671 214668469 644005407