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427830976 = 2617223131
BaseRepresentation
bin11001100000000…
…010111011000000
31002211001001202201
4121200002323000
51334011042401
6110241522544
713413334426
oct3140027300
91084031681
10427830976
111aa554821
12bb343454
136a837231
1440b6b116
152785eb01
hex19802ec0

427830976 has 42 divisors (see below), whose sum is σ = 901893548. Its totient is φ = 201323520.

The previous prime is 427830937. The next prime is 427831009. The reversal of 427830976 is 679038724.

It is a super-2 number, since 2×4278309762 = 366078688050225152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6931 + ... + 30061.

Almost surely, 2427830976 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 427830976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450946774).

427830976 is an abundant number, since it is smaller than the sum of its proper divisors (474062572).

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

427830976 is a wasteful number, since it uses less digits than its factorization.

427830976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23177 (or 23150 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 427830976 is about 20684.0754204775. The cubic root of 427830976 is about 753.5129867996.

The spelling of 427830976 in words is "four hundred twenty-seven million, eight hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 9248 18496 23131 46262 92524 185048 370096 393227 740192 786454 1480384 1572908 3145816 6291632 6684859 12583264 13369718 25166528 26739436 53478872 106957744 213915488 427830976