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5268252 = 22311107373
BaseRepresentation
bin10100000110001100011100
3100220122200110
4110012030130
52322041002
6304530020
762531223
oct24061434
910818613
105268252
112a79130
121920910
131125c12
149b1cba
156e0e6c
hex50631c

5268252 has 48 divisors (see below), whose sum is σ = 13571712. Its totient is φ = 1577280.

The previous prime is 5268229. The next prime is 5268257. The reversal of 5268252 is 2528625.

It is a super-4 number, since 4×52682524 (a number of 28 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5268257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13938 + ... + 14310.

It is an arithmetic number, because the mean of its divisors is an integer number (282744).

Almost surely, 25268252 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 5268252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785856).

5268252 is an abundant number, since it is smaller than the sum of its proper divisors (8303460).

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

5268252 is a wasteful number, since it uses less digits than its factorization.

5268252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 496 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 5268252 is about 2295.2673046946. The cubic root of 5268252 is about 174.0025102029.

It can be divided in two parts, 526 and 8252, that added together give a palindrome (8778).

The spelling of 5268252 in words is "five million, two hundred sixty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 373 428 642 746 1119 1177 1284 1492 2238 2354 3531 4103 4476 4708 7062 8206 12309 14124 16412 24618 39911 49236 79822 119733 159644 239466 439021 478932 878042 1317063 1756084 2634126 5268252