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427825112 = 2311133671019
BaseRepresentation
bin11001100000000…
…001011111011000
31002211000202201112
4121200001133120
51334010400422
6110241435452
713413311351
oct3140013730
91084022645
10427825112
111aa550380
12bb33bb88
136a834670
1440b68d28
152785cee2
hex198017d8

427825112 has 64 divisors (see below), whose sum is σ = 945907200. Its totient is φ = 178842240.

The previous prime is 427825087. The next prime is 427825127. The reversal of 427825112 is 211528724.

It is a zygodrome in base 12.

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, 419339 + ... + 420357.

It is an arithmetic number, because the mean of its divisors is an integer number (14779800).

Almost surely, 2427825112 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 427825112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472953600).

427825112 is an abundant number, since it is smaller than the sum of its proper divisors (518082088).

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

427825112 is a wasteful number, since it uses less digits than its factorization.

427825112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1412 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 427825112 is about 20683.9336684297. The cubic root of 427825112 is about 753.5095441470.

The spelling of 427825112 in words is "four hundred twenty-seven million, eight hundred twenty-five thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 367 572 734 1019 1144 1468 2038 2936 4037 4076 4771 8074 8152 9542 11209 13247 16148 19084 22418 26494 32296 38168 44836 52481 52988 89672 104962 105976 145717 209924 291434 373973 419848 582868 747946 1165736 1495892 2991784 4113703 4861649 8227406 9723298 16454812 19446596 32909624 38893192 53478139 106956278 213912556 427825112