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427225464 = 23325933687
BaseRepresentation
bin11001011101101…
…111000101111000
31002202220022011100
4121131233011320
51333332203324
6110220531400
713405233201
oct3135570570
91082808140
10427225464
111aa1808a6
12bb0b0b60
136a684743
1440a505a8
15277904c9
hex1976f178

427225464 has 24 divisors (see below), whose sum is σ = 1157069160. Its totient is φ = 142408464.

The previous prime is 427225451. The next prime is 427225489. The reversal of 427225464 is 464522724.

427225464 is a `hidden beast` number, since 42 + 72 + 2 + 546 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

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 5 ways as a sum of consecutive naturals, for example, 2966772 + ... + 2966915.

It is an arithmetic number, because the mean of its divisors is an integer number (48211215).

Almost surely, 2427225464 is an apocalyptic number.

It is an amenable number.

427225464 is an abundant number, since it is smaller than the sum of its proper divisors (729843696).

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

427225464 is a wasteful number, since it uses less digits than its factorization.

427225464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933699 (or 5933692 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 427225464 is about 20669.4330836625. The cubic root of 427225464 is about 753.1573349959.

The spelling of 427225464 in words is "four hundred twenty-seven million, two hundred twenty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5933687 11867374 17801061 23734748 35602122 47469496 53403183 71204244 106806366 142408488 213612732 427225464