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425568 = 253111331
BaseRepresentation
bin1100111111001100000
3210121202210
41213321200
5102104233
613042120
73421503
oct1477140
9717683
10425568
11270810
12186340
1311b920
14b113a
1586163
hex67e60

425568 has 96 divisors (see below), whose sum is σ = 1354752. Its totient is φ = 115200.

The previous prime is 425563. The next prime is 425591. The reversal of 425568 is 865524.

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

It is a super-2 number, since 2×4255682 = 362216245248, which contains 22 as substring.

Its product of digits (9600) is a multiple of the sum of its prime divisors (60).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425563) by changing a digit.

425568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13713 + ... + 13743.

It is an arithmetic number, because the mean of its divisors is an integer number (14112).

2425568 is an apocalyptic number.

425568 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 425568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376).

425568 is an abundant number, since it is smaller than the sum of its proper divisors (929184).

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

425568 is a wasteful number, since it uses less digits than its factorization.

425568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 60 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 425568 is about 652.3557311774. The cubic root of 425568 is about 75.2182089601.

The spelling of 425568 in words is "four hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 31 32 33 39 44 48 52 62 66 78 88 93 96 104 124 132 143 156 176 186 208 248 264 286 312 341 352 372 403 416 429 496 528 572 624 682 744 806 858 992 1023 1056 1144 1209 1248 1364 1488 1612 1716 2046 2288 2418 2728 2976 3224 3432 4092 4433 4576 4836 5456 6448 6864 8184 8866 9672 10912 12896 13299 13728 16368 17732 19344 26598 32736 35464 38688 53196 70928 106392 141856 212784 425568