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427318968 = 233197271289
BaseRepresentation
bin11001011110000…
…101111010111000
31002210002001102110
4121132011322320
51333343201333
6110222532320
713406102616
oct3136057270
91083061373
10427318968
111aa23507a
12bb1370a0
136a6b817b
1440a766b6
15277ad063
hex19785eb8

427318968 has 64 divisors (see below), whose sum is σ = 1126944000. Its totient is φ = 134652672.

The previous prime is 427318961. The next prime is 427319023. The reversal of 427318968 is 869813724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427318961) 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, 330868 + ... + 332156.

It is an arithmetic number, because the mean of its divisors is an integer number (17608500).

Almost surely, 2427318968 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 427318968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563472000).

427318968 is an abundant number, since it is smaller than the sum of its proper divisors (699625032).

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

427318968 is a wasteful number, since it uses less digits than its factorization.

427318968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2040 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 427318968 is about 20671.6948506889. The cubic root of 427318968 is about 753.2122771692.

The spelling of 427318968 in words is "four hundred twenty-seven million, three hundred eighteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 727 1289 1454 2181 2578 2908 3867 4362 5156 5816 7734 8724 10312 13813 15468 17448 24491 27626 30936 41439 48982 55252 73473 82878 97964 110504 146946 165756 195928 293892 331512 587784 937103 1874206 2811309 3748412 5622618 7496824 11245236 17804957 22490472 35609914 53414871 71219828 106829742 142439656 213659484 427318968