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427733960 = 23579713417
BaseRepresentation
bin11001011111101…
…011001111001000
31002210212010200112
4121133223033020
51333444441320
6110235453452
713412451533
oct3137531710
91083763615
10427733960
111aa498945
12bb2b7288
136a802024
1440b43a1a
1527840ec5
hex197eb3c8

427733960 has 32 divisors (see below), whose sum is σ = 963680760. Its totient is φ = 170866176.

The previous prime is 427733959. The next prime is 427733987. The reversal of 427733960 is 69337724.

It can be written as a sum of positive squares in 4 ways, for example, as 316768804 + 110965156 = 17798^2 + 10534^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25172 + ... + 38588.

Almost surely, 2427733960 is an apocalyptic number.

427733960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427733960 is an abundant number, since it is smaller than the sum of its proper divisors (535946800).

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

427733960 is a wasteful number, since it uses less digits than its factorization.

427733960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14225 (or 14221 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 41.

The square root of 427733960 is about 20681.7301017105. The cubic root of 427733960 is about 753.4560263438.

The spelling of 427733960 in words is "four hundred twenty-seven million, seven hundred thirty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 797 1594 3188 3985 6376 7970 13417 15940 26834 31880 53668 67085 107336 134170 268340 536680 10693349 21386698 42773396 53466745 85546792 106933490 213866980 427733960