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5336500 = 225313821
BaseRepresentation
bin10100010110110110110100
3101001010022011
4110112312310
52331232000
6310214004
763234211
oct24266664
911033264
105336500
113015434
121954304
13114acc0
149ccb08
157062ba
hex516db4

5336500 has 48 divisors (see below), whose sum is σ = 12566736. Its totient is φ = 1968000.

The previous prime is 5336497. The next prime is 5336501. The reversal of 5336500 is 56335.

It can be written as a sum of positive squares in 8 ways, for example, as 3370896 + 1965604 = 1836^2 + 1402^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5336501) 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, 6090 + ... + 6910.

It is an arithmetic number, because the mean of its divisors is an integer number (261807).

Almost surely, 25336500 is an apocalyptic number.

5336500 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 5336500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283368).

5336500 is an abundant number, since it is smaller than the sum of its proper divisors (7230236).

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

5336500 is a wasteful number, since it uses less digits than its factorization.

5336500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 5336500 is about 2310.0865784641. The cubic root of 5336500 is about 174.7506653324.

The spelling of 5336500 in words is "five million, three hundred thirty-six thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 821 1300 1625 1642 3250 3284 4105 6500 8210 10673 16420 20525 21346 41050 42692 53365 82100 102625 106730 205250 213460 266825 410500 533650 1067300 1334125 2668250 5336500