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427564068 = 223192229431
BaseRepresentation
bin11001011111000…
…001110000100100
31002210112111122020
4121133001300210
51333424022233
6110232103140
713411143321
oct3137016044
91083474566
10427564068
111aa392238
12bb234ab0
136a7728b9
1440adbb48
152780a9b3
hex197c1c24

427564068 has 72 divisors (see below), whose sum is σ = 1059972480. Its totient is φ = 134118720.

The previous prime is 427564063. The next prime is 427564073. The reversal of 427564068 is 860465724.

It is an interprime number because it is at equal distance from previous prime (427564063) and next prime (427564073).

It is a super-2 number, since 2×4275640682 = 365622064489417248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (427564061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 991813 + ... + 992243.

It is an arithmetic number, because the mean of its divisors is an integer number (14721840).

Almost surely, 2427564068 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 427564068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529986240).

427564068 is an abundant number, since it is smaller than the sum of its proper divisors (632408412).

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

427564068 is a wasteful number, since it uses less digits than its factorization.

427564068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 427564068 is about 20677.6223971713. The cubic root of 427564068 is about 753.3562578626.

The spelling of 427564068 in words is "four hundred twenty-seven million, five hundred sixty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 229 361 431 458 687 722 862 916 1083 1293 1374 1444 1724 2166 2586 2748 4332 4351 5172 8189 8702 13053 16378 17404 24567 26106 32756 49134 52212 82669 98268 98699 155591 165338 197398 248007 296097 311182 330676 394796 466773 496014 592194 622364 933546 992028 1184388 1867092 1875281 3750562 5625843 7501124 11251686 22503372 35630339 71260678 106891017 142521356 213782034 427564068