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427465984 = 2811151799
BaseRepresentation
bin11001011110101…
…001110100000000
31002210100112002111
4121132221310000
51333412402414
6110230025104
713410254341
oct3136516400
91083315074
10427465984
111aa325580
12bb1a8194
136a73a06a
1440ab40c8
15277db8c4
hex197a9d00

427465984 has 36 divisors (see below), whose sum is σ = 930837600. Its totient is φ = 194301440.

The previous prime is 427465957. The next prime is 427465991. The reversal of 427465984 is 489564724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73084 + ... + 78715.

It is an arithmetic number, because the mean of its divisors is an integer number (25856600).

Almost surely, 2427465984 is an apocalyptic number.

427465984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

427465984 is an abundant number, since it is smaller than the sum of its proper divisors (503371616).

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

427465984 is a wasteful number, since it uses less digits than its factorization.

427465984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151826 (or 151812 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

The square root of 427465984 is about 20675.2505184339. The cubic root of 427465984 is about 753.2986463436.

The spelling of 427465984 in words is "four hundred twenty-seven million, four hundred sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 151799 303598 607196 1214392 1669789 2428784 3339578 4857568 6679156 9715136 13358312 19430272 26716624 38860544 53433248 106866496 213732992 427465984