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4086464 = 2667953
BaseRepresentation
bin1111100101101011000000
321200121120112
433211223000
52021231324
6223330452
746506614
oct17455300
97617515
104086464
112341248
121450a28
13b01035
14785344
1555ac0e
hex3e5ac0

4086464 has 28 divisors (see below), whose sum is σ = 8238744. Its totient is φ = 2010624.

The previous prime is 4086457. The next prime is 4086473. The reversal of 4086464 is 4646804.

4086464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4086464.

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 3 ways as a sum of consecutive naturals, for example, 3812 + ... + 4764.

Almost surely, 24086464 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 4086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119372).

4086464 is an abundant number, since it is smaller than the sum of its proper divisors (4152280).

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

4086464 is an equidigital number, since it uses as much as digits as its factorization.

4086464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 4086464 is about 2021.5004328468. The cubic root of 4086464 is about 159.8757368500.

The spelling of 4086464 in words is "four million, eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 67 134 268 536 953 1072 1906 2144 3812 4288 7624 15248 30496 60992 63851 127702 255404 510808 1021616 2043232 4086464