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425800368 = 243371391013
BaseRepresentation
bin11001011000010…
…011001010110000
31002200012220022000
4121120103022300
51333001102433
6110130214000
713360146330
oct3130231260
91080186260
10425800368
111a9398134
12ba724300
136a2a5ba6
144079d0c0
15275ad113
hex196132b0

425800368 has 160 divisors (see below), whose sum is σ = 1408243200. Its totient is φ = 120662784.

The previous prime is 425800289. The next prime is 425800379. The reversal of 425800368 is 863008524.

425800368 is a `hidden beast` number, since 42 + 580 + 0 + 36 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419830 + ... + 420842.

It is an arithmetic number, because the mean of its divisors is an integer number (8801520).

Almost surely, 2425800368 is an apocalyptic number.

425800368 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 425800368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704121600).

425800368 is an abundant number, since it is smaller than the sum of its proper divisors (982442832).

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

425800368 is a wasteful number, since it uses less digits than its factorization.

425800368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 425800368 is about 20634.9307728424. The cubic root of 425800368 is about 752.3189664694.

The spelling of 425800368 in words is "four hundred twenty-five million, eight hundred thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 139 144 168 189 216 252 278 336 378 417 432 504 556 756 834 973 1008 1013 1112 1251 1512 1668 1946 2026 2224 2502 2919 3024 3039 3336 3753 3892 4052 5004 5838 6078 6672 7091 7506 7784 8104 8757 9117 10008 11676 12156 14182 15012 15568 16208 17514 18234 20016 21273 23352 24312 26271 27351 28364 30024 35028 36468 42546 46704 48624 52542 54702 56728 60048 63819 70056 72936 85092 105084 109404 113456 127638 140112 140807 145872 170184 191457 210168 218808 255276 281614 340368 382914 420336 422421 437616 510552 563228 765828 844842 985649 1021104 1126456 1267263 1531656 1689684 1971298 2252912 2534526 2956947 3063312 3379368 3801789 3942596 5069052 5913894 6758736 7603578 7885192 8870841 10138104 11827788 15207156 15770384 17741682 20276208 23655576 26612523 30414312 35483364 47311152 53225046 60828624 70966728 106450092 141933456 212900184 425800368