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5349000 = 233531783
BaseRepresentation
bin10100011001111010001000
3101001202110010
4110121322020
52332132000
6310351520
763315516
oct24317210
911052403
105349000
113023868
12195b5a0
1311538b7
149d34b6
15709d50
hex519e88

5349000 has 64 divisors (see below), whose sum is σ = 16698240. Its totient is φ = 1425600.

The previous prime is 5348969. The next prime is 5349007. The reversal of 5349000 is 9435.

It is a super-2 number, since 2×53490002 = 57223602000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5349007) 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, 2109 + ... + 3891.

It is an arithmetic number, because the mean of its divisors is an integer number (260910).

Almost surely, 25349000 is an apocalyptic number.

5349000 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 5349000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8349120).

5349000 is an abundant number, since it is smaller than the sum of its proper divisors (11349240).

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

5349000 is a wasteful number, since it uses less digits than its factorization.

5349000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 5349000 is about 2312.7905222912. The cubic root of 5349000 is about 174.8870018824.

The spelling of 5349000 in words is "five million, three hundred forty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1783 3000 3566 5349 7132 8915 10698 14264 17830 21396 26745 35660 42792 44575 53490 71320 89150 106980 133725 178300 213960 222875 267450 356600 445750 534900 668625 891500 1069800 1337250 1783000 2674500 5349000