Search a number
5017600 = 2125272
BaseRepresentation
bin10011001001000000000000
3100102220212001
4103021000000
52241030400
6255313344
760435400
oct23110000
910386761
105017600
112917885
12181b854
131068ac3
14948800
15691a6a
hex4c9000

5017600 has 117 divisors (see below), whose sum is σ = 14473497. Its totient is φ = 1720320.

The previous prime is 5017589. The next prime is 5017603. The reversal of 5017600 is 67105.

The square root of 5017600 is 2240.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 3211264 = 1344^2 + 1792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5017603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 716797 + ... + 716803.

Almost surely, 25017600 is an apocalyptic number.

5017600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5017600 is a droll number since its even prime factors and its odd prime factors have the same sum.

5017600 is the 2240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5017600

5017600 is an abundant number, since it is smaller than the sum of its proper divisors (9455897).

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

5017600 is an equidigital number, since it uses as much as digits as its factorization.

5017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The cubic root of 5017600 is about 171.1979968904.

The spelling of 5017600 in words is "five million, seventeen thousand, six hundred".