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645927264 = 25331514951
BaseRepresentation
bin100110100000000…
…001000101100000
31200000102111122000
4212200001011200
52310324133024
6144032244000
722002201603
oct4640010540
91600374560
10645927264
11301677794
121603a0600
13a3a892a8
1461b0033a
153ba90cc9
hex26801160

645927264 has 96 divisors (see below), whose sum is σ = 1896814080. Its totient is φ = 213840000.

The previous prime is 645927263. The next prime is 645927277. The reversal of 645927264 is 462729546.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645927263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127989 + ... + 132939.

It is an arithmetic number, because the mean of its divisors is an integer number (19758480).

Almost surely, 2645927264 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 645927264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948407040).

645927264 is an abundant number, since it is smaller than the sum of its proper divisors (1250886816).

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

645927264 is a wasteful number, since it uses less digits than its factorization.

645927264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5121 (or 5107 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 645927264 is about 25415.0991341761. The cubic root of 645927264 is about 864.4261015520.

The spelling of 645927264 in words is "six hundred forty-five million, nine hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 151 216 288 302 432 453 604 864 906 1208 1359 1812 2416 2718 3624 4077 4832 4951 5436 7248 8154 9902 10872 14496 14853 16308 19804 21744 29706 32616 39608 43488 44559 59412 65232 79216 89118 118824 130464 133677 158432 178236 237648 267354 356472 475296 534708 712944 747601 1069416 1425888 1495202 2138832 2242803 2990404 4277664 4485606 5980808 6728409 8971212 11961616 13456818 17942424 20185227 23923232 26913636 35884848 40370454 53827272 71769696 80740908 107654544 161481816 215309088 322963632 645927264