Search a number
8813264 = 241953547
BaseRepresentation
bin100001100111…
…101011010000
3121120202112012
4201213223100
54224011024
6512522052
7134624435
oct41475320
917522465
108813264
114a7a599
122b50328
131a97665
141255b8c
15b9150e

8813264 has 40 divisors (see below), whose sum is σ = 18347040. Its totient is φ = 4088448.

The previous prime is 8813263. The next prime is 8813267. The reversal of 8813264 is 4623188.

It is a self number, because there is not a number n which added to its sum of digits gives 8813264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8813261) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15839 + ... + 16385.

It is an arithmetic number, because the mean of its divisors is an integer number (458676).

Almost surely, 28813264 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 8813264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9173520).

8813264 is an abundant number, since it is smaller than the sum of its proper divisors (9533776).

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

8813264 is a wasteful number, since it uses less digits than its factorization.

8813264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 8813264 is about 2968.7141997841. The cubic root of 8813264 is about 206.5596995301.

The spelling of 8813264 in words is "eight million, eight hundred thirteen thousand, two hundred sixty-four".