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427287920 = 2456187559
BaseRepresentation
bin11001011101111…
…110010101110000
31002210000110211112
4121131332111300
51333341203140
6110222132452
713405613243
oct3135762560
91083013745
10427287920
111aa213814
12bb121128
136a6a6cb7
1440a6925a
15277a3c65
hex1977e570

427287920 has 40 divisors (see below), whose sum is σ = 1009741920. Its totient is φ = 168111360.

The previous prime is 427287899. The next prime is 427287953. The reversal of 427287920 is 29782724.

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

It is a congruent number.

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, 38900 + ... + 48659.

It is an arithmetic number, because the mean of its divisors is an integer number (25243548).

Almost surely, 2427287920 is an apocalyptic number.

427287920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427287920 is an abundant number, since it is smaller than the sum of its proper divisors (582454000).

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

427287920 is a wasteful number, since it uses less digits than its factorization.

427287920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87633 (or 87627 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 427287920 is about 20670.9438584695. The cubic root of 427287920 is about 753.1940345113.

The spelling of 427287920 in words is "four hundred twenty-seven million, two hundred eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 87559 175118 350236 437795 700472 875590 1400944 1751180 3502360 5341099 7004720 10682198 21364396 26705495 42728792 53410990 85457584 106821980 213643960 427287920