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5200048 = 247291601
BaseRepresentation
bin10011110101100010110000
3100210012010101
4103311202300
52312400143
6303242144
762125330
oct23654260
910705111
105200048
112a31967
1218a9354
131100b69
149950c0
156cab4d
hex4f58b0

5200048 has 40 divisors (see below), whose sum is σ = 11918880. Its totient is φ = 2150400.

The previous prime is 5200021. The next prime is 5200049. The reversal of 5200048 is 8400025.

It is a happy number.

5200048 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 5199998 and 5200034.

It is not an unprimeable number, because it can be changed into a prime (5200049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2448 + ... + 4048.

It is an arithmetic number, because the mean of its divisors is an integer number (297972).

Almost surely, 25200048 is an apocalyptic number.

5200048 is a gapful number since it is divisible by the number (58) 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 5200048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959440).

5200048 is an abundant number, since it is smaller than the sum of its proper divisors (6718832).

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

5200048 is a wasteful number, since it uses less digits than its factorization.

5200048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 5200048 is about 2280.3613748702. The cubic root of 5200048 is about 173.2483541368.

The spelling of 5200048 in words is "five million, two hundred thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1601 1624 3202 3248 6404 11207 12808 22414 25616 44828 46429 89656 92858 179312 185716 325003 371432 650006 742864 1300012 2600024 5200048