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426785568 = 25311478599
BaseRepresentation
bin11001011100000…
…011101100100000
31002202001221201220
4121130003230200
51333224114233
6110203255040
713401421536
oct3134035440
91082057656
10426785568
111a9a00350
12bab1a480
136a55c451
1440978156
1527704eb3
hex19703b20

426785568 has 96 divisors (see below), whose sum is σ = 1248307200. Its totient is φ = 126562560.

The previous prime is 426785563. The next prime is 426785573. The reversal of 426785568 is 865587624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (426785563) and next prime (426785573).

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

It is a self number, because there is not a number n which added to its sum of digits gives 426785568.

It is not an unprimeable number, because it can be changed into a prime (426785563) 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, 45333 + ... + 53931.

It is an arithmetic number, because the mean of its divisors is an integer number (13003200).

Almost surely, 2426785568 is an apocalyptic number.

426785568 is a gapful number since it is divisible by the number (48) 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 426785568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624153600).

426785568 is an abundant number, since it is smaller than the sum of its proper divisors (821521632).

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

426785568 is a wasteful number, since it uses less digits than its factorization.

426785568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8670 (or 8662 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The square root of 426785568 is about 20658.7891223082. The cubic root of 426785568 is about 752.8987481339.

The spelling of 426785568 in words is "four hundred twenty-six million, seven hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 132 141 176 188 264 282 352 376 517 528 564 752 1034 1056 1128 1504 1551 2068 2256 3102 4136 4512 6204 8272 8599 12408 16544 17198 24816 25797 34396 49632 51594 68792 94589 103188 137584 189178 206376 275168 283767 378356 404153 412752 567534 756712 808306 825504 1135068 1212459 1513424 1616612 2270136 2424918 3026848 3233224 4445683 4540272 4849836 6466448 8891366 9080544 9699672 12932896 13337049 17782732 19399344 26674098 35565464 38798688 53348196 71130928 106696392 142261856 213392784 426785568