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645775104 = 2831371911
BaseRepresentation
bin100110011111011…
…011111100000000
31200000010202220110
4212133123330000
52310304300404
6144025111320
722000666152
oct4637337400
91600122813
10645775104
11301583437
12160328540
13a3a34c60
1461aa0ad2
153ba60b89
hex267dbf00

645775104 has 144 divisors (see below), whose sum is σ = 1879041024. Its totient is φ = 195686400.

The previous prime is 645775087. The next prime is 645775121. The reversal of 645775104 is 401577546.

It is an interprime number because it is at equal distance from previous prime (645775087) and next prime (645775121).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708409 + ... + 709319.

It is an arithmetic number, because the mean of its divisors is an integer number (13048896).

Almost surely, 2645775104 is an apocalyptic number.

645775104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645775104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939520512).

645775104 is an abundant number, since it is smaller than the sum of its proper divisors (1233265920).

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

645775104 is a wasteful number, since it uses less digits than its factorization.

645775104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 645775104 is about 25412.1054617676. The cubic root of 645775104 is about 864.3582190868.

The spelling of 645775104 in words is "six hundred forty-five million, seven hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 78 96 104 128 142 156 192 208 213 256 284 312 384 416 426 568 624 768 832 852 911 923 1136 1248 1664 1704 1822 1846 2272 2496 2733 2769 3328 3408 3644 3692 4544 4992 5466 5538 6816 7288 7384 9088 9984 10932 11076 11843 13632 14576 14768 18176 21864 22152 23686 27264 29152 29536 35529 43728 44304 47372 54528 58304 59072 64681 71058 87456 88608 94744 116608 118144 129362 142116 174912 177216 189488 194043 233216 236288 258724 284232 349824 354432 378976 388086 517448 568464 699648 708864 757952 776172 840853 1034896 1136928 1515904 1552344 1681706 2069792 2273856 2522559 3031808 3104688 3363412 4139584 4547712 5045118 6209376 6726824 8279168 9095424 10090236 12418752 13453648 16558336 20180472 24837504 26907296 40360944 49675008 53814592 80721888 107629184 161443776 215258368 322887552 645775104