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645443604 = 22321319292503
BaseRepresentation
bin100110011110001…
…011000000010100
31122222111221011200
4212132023000110
52310213143404
6144014032500
721665115531
oct4636130024
91588457150
10645443604
11301377373
121601a8730
13a394a0c0
1461a15d88
153b9e7839
hex2678b014

645443604 has 144 divisors (see below), whose sum is σ = 1914057600. Its totient is φ = 181585152.

The previous prime is 645443597. The next prime is 645443627. The reversal of 645443604 is 406344546.

645443604 is a `hidden beast` number, since 6 + 4 + 5 + 4 + 43 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256617 + ... + 259119.

Almost surely, 2645443604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645443604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957028800).

645443604 is an abundant number, since it is smaller than the sum of its proper divisors (1268613996).

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

645443604 is a wasteful number, since it uses less digits than its factorization.

645443604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 645443604 is about 25405.5821425135. The cubic root of 645443604 is about 864.2102915336.

The spelling of 645443604 in words is "six hundred forty-five million, four hundred forty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 29 36 38 39 52 57 58 76 78 87 114 116 117 156 171 174 228 234 247 261 342 348 377 468 494 522 551 684 741 754 988 1044 1102 1131 1482 1508 1653 2204 2223 2262 2503 2964 3306 3393 4446 4524 4959 5006 6612 6786 7163 7509 8892 9918 10012 13572 14326 15018 19836 21489 22527 28652 30036 32539 42978 45054 47557 64467 65078 72587 85956 90108 95114 97617 128934 130156 142671 145174 190228 195234 217761 257868 285342 290348 292851 390468 428013 435522 570684 585702 618241 653283 856026 871044 943631 1171404 1236482 1306566 1379153 1712052 1854723 1887262 2472964 2613132 2758306 2830893 3709446 3774524 4137459 5516612 5564169 5661786 7418892 8274918 8492679 11128338 11323572 12412377 16549836 16985358 17928989 22256676 24824754 33970716 35857978 49649508 53786967 71715956 107573934 161360901 215147868 322721802 645443604