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427990464 = 263211312179
BaseRepresentation
bin11001100000101…
…001110111000000
31002211100011112200
4121200221313000
51334031143324
6110245153200
713414600416
oct3140516700
91084304480
10427990464
111aa653630
12bb3bb800
136a8919c5
1440bad2b6
1527891ec9
hex19829dc0

427990464 has 168 divisors, whose sum is σ = 1382085120. Its totient is φ = 125452800.

The previous prime is 427990421. The next prime is 427990489. The reversal of 427990464 is 464099724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195327 + ... + 197505.

Almost surely, 2427990464 is an apocalyptic number.

427990464 is a gapful number since it is divisible by the number (44) 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 427990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691042560).

427990464 is an abundant number, since it is smaller than the sum of its proper divisors (954094656).

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

427990464 is a wasteful number, since it uses less digits than its factorization.

427990464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 427990464 is about 20687.9303943145. The cubic root of 427990464 is about 753.6066073771.

The spelling of 427990464 in words is "four hundred twenty-seven million, nine hundred ninety thousand, four hundred sixty-four".