Search a number
-
+
5036800 = 2852787
BaseRepresentation
bin10011001101101100000000
3100110220012011
4103031230000
52242134200
6255542304
760545356
oct23155400
910426164
105036800
11293024a
12182a994
131074772
149517d6
156975ba
hex4cdb00

5036800 has 54 divisors (see below), whose sum is σ = 12482708. Its totient is φ = 2012160.

The previous prime is 5036789. The next prime is 5036821. The reversal of 5036800 is 86305.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6007 + ... + 6793.

Almost surely, 25036800 is an apocalyptic number.

5036800 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 5036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241354).

5036800 is an abundant number, since it is smaller than the sum of its proper divisors (7445908).

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

5036800 is an equidigital number, since it uses as much as digits as its factorization.

5036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5036800 is about 2244.2816222569. The cubic root of 5036800 is about 171.4160837464.

The spelling of 5036800 in words is "five million, thirty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 787 800 1280 1574 1600 3148 3200 3935 6296 6400 7870 12592 15740 19675 25184 31480 39350 50368 62960 78700 100736 125920 157400 201472 251840 314800 503680 629600 1007360 1259200 2518400 5036800