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5294600 = 2352231151
BaseRepresentation
bin10100001100101000001000
3100221222211022
4110030220020
52323411400
6305252012
763001103
oct24145010
910858738
105294600
112a96a03
121934008
131134bcc
149bb73a
156e8b85
hex50ca08

5294600 has 48 divisors (see below), whose sum is σ = 12856320. Its totient is φ = 2024000.

The previous prime is 5294591. The next prime is 5294603. The reversal of 5294600 is 64925.

5294600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 23012-1.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 5294600.

It is not an unprimeable number, because it can be changed into a prime (5294603) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4025 + ... + 5175.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 25294600 is an apocalyptic number.

5294600 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 5294600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428160).

5294600 is an abundant number, since it is smaller than the sum of its proper divisors (7561720).

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

5294600 is a wasteful number, since it uses less digits than its factorization.

5294600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 5294600 is about 2300.9997827032. Note that the first 3 decimals coincide. The cubic root of 5294600 is about 174.2921063421.

The spelling of 5294600 in words is "five million, two hundred ninety-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 1151 2300 2302 4600 4604 5755 9208 11510 23020 26473 28775 46040 52946 57550 105892 115100 132365 211784 230200 264730 529460 661825 1058920 1323650 2647300 5294600