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5262306 = 23732557
BaseRepresentation
bin10100000100101111100010
3100220100112020
4110010233202
52321343211
6304442310
762505000
oct24045742
910810466
105262306
112a74715
121919396
1311232ba
149ada70
156de306
hex504be2

5262306 has 32 divisors (see below), whose sum is σ = 12278400. Its totient is φ = 1502928.

The previous prime is 5262289. The next prime is 5262319. The reversal of 5262306 is 6032625.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780 + ... + 3336.

It is an arithmetic number, because the mean of its divisors is an integer number (383700).

Almost surely, 25262306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5262306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139200).

5262306 is an abundant number, since it is smaller than the sum of its proper divisors (7016094).

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

5262306 is a wasteful number, since it uses less digits than its factorization.

5262306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5262306 is about 2293.9716650386. The cubic root of 5262306 is about 173.9370230540.

Subtracting from 5262306 its product of nonzero digits (2160), we obtain a triangular number (5260146 = T3243).

The spelling of 5262306 in words is "five million, two hundred sixty-two thousand, three hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 2058 2557 5114 7671 15342 17899 35798 53697 107394 125293 250586 375879 751758 877051 1754102 2631153 5262306