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427905680 = 24522132417
BaseRepresentation
bin11001100000010…
…101001010010000
31002211011212020112
4121200111022100
51334020440210
6110243300452
713414065266
oct3140251220
91084155215
10427905680
111aa5a5964
12bb37a728
136a862237
1440b8a436
1527876d05
hex19815290

427905680 has 40 divisors (see below), whose sum is σ = 995742072. Its totient is φ = 171014144.

The previous prime is 427905659. The next prime is 427905683. The reversal of 427905680 is 86509724.

It can be written as a sum of positive squares in 4 ways, for example, as 296390656 + 131515024 = 17216^2 + 11468^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (427905683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175832 + ... + 178248.

Almost surely, 2427905680 is an apocalyptic number.

427905680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427905680 is an abundant number, since it is smaller than the sum of its proper divisors (567836392).

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

427905680 is a wasteful number, since it uses less digits than its factorization.

427905680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 427905680 is about 20685.8811753331. The cubic root of 427905680 is about 753.5568414691.

The spelling of 427905680 in words is "four hundred twenty-seven million, nine hundred five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2213 2417 4426 4834 8852 9668 11065 12085 17704 19336 22130 24170 35408 38672 44260 48340 88520 96680 177040 193360 5348821 10697642 21395284 26744105 42790568 53488210 85581136 106976420 213952840 427905680