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5268500 = 225341257
BaseRepresentation
bin10100000110010000010100
3100220200000122
4110012100110
52322043000
6304531112
762532026
oct24062024
910820018
105268500
112a79336
121920a98
131126073
149b2016
156e1085
hex506414

5268500 has 48 divisors (see below), whose sum is σ = 11832912. Its totient is φ = 2048000.

The previous prime is 5268499. The next prime is 5268539. The reversal of 5268500 is 58625.

It can be written as a sum of positive squares in 8 ways, for example, as 1473796 + 3794704 = 1214^2 + 1948^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5268500.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 20372 + ... + 20628.

It is an arithmetic number, because the mean of its divisors is an integer number (246519).

Almost surely, 25268500 is an apocalyptic number.

5268500 is a gapful number since it is divisible by the number (50) 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 5268500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916456).

5268500 is an abundant number, since it is smaller than the sum of its proper divisors (6564412).

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

5268500 is a wasteful number, since it uses less digits than its factorization.

5268500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 5268500 is about 2295.3213282676. The cubic root of 5268500 is about 174.0052405168.

The spelling of 5268500 in words is "five million, two hundred sixty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 257 410 500 514 820 1025 1028 1285 2050 2570 4100 5125 5140 6425 10250 10537 12850 20500 21074 25700 32125 42148 52685 64250 105370 128500 210740 263425 526850 1053700 1317125 2634250 5268500