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427367664 = 24342983137
BaseRepresentation
bin11001011110010…
…001110011110000
31002210011112020000
4121132101303300
51333401231124
6110223550000
713406364603
oct3136216360
91083145200
10427367664
111aa268719
12bb15b300
136a704399
1440a8a33a
15277bc6c9
hex19791cf0

427367664 has 200 divisors, whose sum is σ = 1304447760. Its totient is φ = 134894592.

The previous prime is 427367653. The next prime is 427367683. The reversal of 427367664 is 466763724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3119404 + ... + 3119540.

Almost surely, 2427367664 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 427367664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652223880).

427367664 is an abundant number, since it is smaller than the sum of its proper divisors (877080096).

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

427367664 is a wasteful number, since it uses less digits than its factorization.

427367664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 254 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 427367664 is about 20672.8726595991. The cubic root of 427367664 is about 753.2408873602.

The spelling of 427367664 in words is "four hundred twenty-seven million, three hundred sixty-seven thousand, six hundred sixty-four".