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5242000 = 24532621
BaseRepresentation
bin10011111111110010010000
3100212022200011
4103333302100
52320221000
6304204304
762361541
oct23776220
910768604
105242000
112a60435
121909694
131116c9a
149a64c8
156d82ba
hex4ffc90

5242000 has 40 divisors (see below), whose sum is σ = 12679992. Its totient is φ = 2096000.

The previous prime is 5241989. The next prime is 5242021. The reversal of 5242000 is 2425.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 5234944 = 84^2 + 2288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 690 + ... + 3310.

Almost surely, 25242000 is an apocalyptic number.

5242000 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 5242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339996).

5242000 is an abundant number, since it is smaller than the sum of its proper divisors (7437992).

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

5242000 is a wasteful number, since it uses less digits than its factorization.

5242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 5242000 is about 2289.5414388038. The cubic root of 5242000 is about 173.7130073239.

Adding to 5242000 its reverse (2425), we get a palindrome (5244425).

It can be divided in two parts, 5 and 242000, that multiplied together give a square (1210000 = 11002).

The spelling of 5242000 in words is "five million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2621 5242 10484 13105 20968 26210 41936 52420 65525 104840 131050 209680 262100 327625 524200 655250 1048400 1310500 2621000 5242000