Search a number
-
+
5028500 = 225389113
BaseRepresentation
bin10011001011101010010100
3100110110210202
4103023222110
52241403000
6255440032
760512231
oct23135224
910413722
105028500
112924a94
121826018
131070a59
1494c788
15694dd5
hex4cba94

5028500 has 48 divisors (see below), whose sum is σ = 11203920. Its totient is φ = 1971200.

The previous prime is 5028473. The next prime is 5028509. The reversal of 5028500 is 58205.

It can be written as a sum of positive squares in 8 ways, for example, as 3984016 + 1044484 = 1996^2 + 1022^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5028509) 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 15 ways as a sum of consecutive naturals, for example, 44444 + ... + 44556.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 25028500 is an apocalyptic number.

5028500 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 5028500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960).

5028500 is an abundant number, since it is smaller than the sum of its proper divisors (6175420).

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

5028500 is a wasteful number, since it uses less digits than its factorization.

5028500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 5028500 is about 2242.4317157943. The cubic root of 5028500 is about 171.3218747436.

The spelling of 5028500 in words is "five million, twenty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 113 125 178 226 250 356 445 452 500 565 890 1130 1780 2225 2260 2825 4450 5650 8900 10057 11125 11300 14125 20114 22250 28250 40228 44500 50285 56500 100570 201140 251425 502850 1005700 1257125 2514250 5028500