Search a number
-
+
5128288 = 251117857
BaseRepresentation
bin10011100100000001100000
3100122112200121
4103210001200
52303101123
6301530024
761406164
oct23440140
910575617
105128288
112992a60
121873914
1310a72b9
14976ca4
156b475d
hex4e4060

5128288 has 48 divisors (see below), whose sum is σ = 11675664. Its totient is φ = 2191360.

The previous prime is 5128283. The next prime is 5128297. The reversal of 5128288 is 8828215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5128283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5556 + ... + 6412.

It is an arithmetic number, because the mean of its divisors is an integer number (243243).

Almost surely, 25128288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5128288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837832).

5128288 is an abundant number, since it is smaller than the sum of its proper divisors (6547376).

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

5128288 is a wasteful number, since it uses less digits than its factorization.

5128288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 887 counting only the distinct ones).

The product of its digits is 10240, while the sum is 34.

The square root of 5128288 is about 2264.5723658121. The cubic root of 5128288 is about 172.4477248306.

The spelling of 5128288 in words is "five million, one hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 857 1496 1714 2992 3428 5984 6856 9427 13712 14569 18854 27424 29138 37708 58276 75416 116552 150832 160259 233104 301664 320518 466208 641036 1282072 2564144 5128288