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5349100 = 2252149359
BaseRepresentation
bin10100011001111011101100
3101001202120211
4110121323230
52332132400
6310352204
763316021
oct24317354
911052524
105349100
113023949
12195b664
131153963
149d3548
15709dba
hex519eec

5349100 has 36 divisors (see below), whose sum is σ = 11718000. Its totient is φ = 2119360.

The previous prime is 5349083. The next prime is 5349109. The reversal of 5349100 is 19435.

It is a super-2 number, since 2×53491002 = 57225741620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5349109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14721 + ... + 15079.

It is an arithmetic number, because the mean of its divisors is an integer number (325500).

Almost surely, 25349100 is an apocalyptic number.

5349100 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 5349100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859000).

5349100 is an abundant number, since it is smaller than the sum of its proper divisors (6368900).

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

5349100 is a wasteful number, since it uses less digits than its factorization.

5349100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 5349100 is about 2312.8121410958. The cubic root of 5349100 is about 174.8880917179. Note that the first 3 decimals are identical.

The spelling of 5349100 in words is "five million, three hundred forty-nine thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 359 596 718 745 1436 1490 1795 2980 3590 3725 7180 7450 8975 14900 17950 35900 53491 106982 213964 267455 534910 1069820 1337275 2674550 5349100