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5685264 = 2432133037
BaseRepresentation
bin10101101100000000010000
3101200211201100
4111230000100
52423412024
6321504400
766216054
oct25540020
911624640
105685264
113233472
121aa2100
131240980
14a7dc64
157747c9
hex56c010

5685264 has 60 divisors (see below), whose sum is σ = 17140396. Its totient is φ = 1748736.

The previous prime is 5685241. The next prime is 5685283. The reversal of 5685264 is 4625865.

It can be written as a sum of positive squares in 2 ways, for example, as 2822400 + 2862864 = 1680^2 + 1692^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354 + ... + 3390.

Almost surely, 25685264 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 5685264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570198).

5685264 is an abundant number, since it is smaller than the sum of its proper divisors (11455132).

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

5685264 is a wasteful number, since it uses less digits than its factorization.

5685264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3055 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5685264 is about 2384.3791644787. The cubic root of 5685264 is about 178.4775293607.

It can be divided in two parts, 568 and 5264, that added together give a cube (5832 = 183).

The spelling of 5685264 in words is "five million, six hundred eighty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 3037 6074 9111 12148 18222 24296 27333 36444 39481 48592 54666 72888 78962 109332 118443 145776 157924 218664 236886 315848 355329 437328 473772 631696 710658 947544 1421316 1895088 2842632 5685264