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644270445 = 3257131311201
BaseRepresentation
bin100110011001101…
…100100101101101
31122220022022220100
4212121230211231
52304413123240
6143532541313
721652131330
oct4631544555
91586268810
10644270445
11300745a15
1215b921839
13a3629120
14617cc617
153b864e30
hex2666c96d

644270445 has 96 divisors (see below), whose sum is σ = 1386088704. Its totient is φ = 269568000.

The previous prime is 644270441. The next prime is 644270447. The reversal of 644270445 is 544072446.

644270445 is a `hidden beast` number, since 644 + 2 + 7 + 0 + 4 + 4 + 5 = 666.

It is not a de Polignac number, because 644270445 - 22 = 644270441 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644270441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 535845 + ... + 537045.

It is an arithmetic number, because the mean of its divisors is an integer number (14438424).

Almost surely, 2644270445 is an apocalyptic number.

644270445 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

644270445 is an abundant number, since it is smaller than the sum of its proper divisors (741818259).

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

644270445 is a wasteful number, since it uses less digits than its factorization.

644270445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 644270445 is about 25382.4830345654. The cubic root of 644270445 is about 863.6863774595.

The spelling of 644270445 in words is "six hundred forty-four million, two hundred seventy thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 131 195 273 315 393 455 585 655 819 917 1179 1201 1365 1703 1965 2751 3603 4095 4585 5109 5895 6005 8253 8407 8515 10809 11921 13755 15327 15613 18015 25221 25545 35763 41265 42035 46839 54045 59605 75663 76635 78065 107289 109291 126105 140517 157331 178815 234195 327873 378315 471993 536445 546455 702585 786655 983619 1101317 1415979 1639365 2045303 2359965 3303951 4918095 5506585 6135909 7079895 9911853 10226515 14317121 16519755 18407727 30679545 42951363 49559265 71585605 92038635 128854089 214756815 644270445