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8290464 = 253713273
BaseRepresentation
bin11111101000000010100000
3120121012101020
4133220002200
54110243324
6453405440
7130316310
oct37500240
916535336
108290464
114752826
122939880
131943700
14115b440
hex7e80a0

8290464 has 144 divisors (see below), whose sum is σ = 27300672. Its totient is φ = 2156544.

The previous prime is 8290463. The next prime is 8290481. The reversal of 8290464 is 4640928.

It is not an unprimeable number, because it can be changed into a prime (8290463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113532 + ... + 113604.

It is an arithmetic number, because the mean of its divisors is an integer number (189588).

Almost surely, 28290464 is an apocalyptic number.

8290464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8290464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13650336).

8290464 is an abundant number, since it is smaller than the sum of its proper divisors (19010208).

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

8290464 is a wasteful number, since it uses less digits than its factorization.

8290464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 8290464 is about 2879.3165855807. The cubic root of 8290464 is about 202.3918154033.

The spelling of 8290464 in words is "eight million, two hundred ninety thousand, four hundred sixty-four".