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427212864 = 26321359967
BaseRepresentation
bin11001011101101…
…100000001000000
31002202212122212200
4121131230001000
51333331302424
6110220353200
713405151361
oct3135540100
91082778780
10427212864
111aa172391
12bb0a5800
136a67baa0
1440a49b68
152778b8c9
hex1976c040

427212864 has 168 divisors, whose sum is σ = 1342461120. Its totient is φ = 129088512.

The previous prime is 427212847. The next prime is 427212883. The reversal of 427212864 is 468212724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441309 + ... + 442275.

It is an arithmetic number, because the mean of its divisors is an integer number (7990840).

Almost surely, 2427212864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427212864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671230560).

427212864 is an abundant number, since it is smaller than the sum of its proper divisors (915248256).

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

427212864 is a wasteful number, since it uses less digits than its factorization.

427212864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1044 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 427212864 is about 20669.1282835053. The cubic root of 427212864 is about 753.1499307278.

The spelling of 427212864 in words is "four hundred twenty-seven million, two hundred twelve thousand, eight hundred sixty-four".