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5089248 = 253241431
BaseRepresentation
bin10011011010011111100000
3100120120010200
4103122133200
52300323443
6301025200
761154313
oct23323740
910516120
105089248
11296669a
121855200
1310925b8
1496697a
156a7dd3
hex4da7e0

5089248 has 72 divisors (see below), whose sum is σ = 14859936. Its totient is φ = 1651200.

The previous prime is 5089243. The next prime is 5089261. The reversal of 5089248 is 8429805.

5089248 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5089243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11593 + ... + 12023.

It is an arithmetic number, because the mean of its divisors is an integer number (206388).

Almost surely, 25089248 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 5089248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429968).

5089248 is an abundant number, since it is smaller than the sum of its proper divisors (9770688).

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

5089248 is a wasteful number, since it uses less digits than its factorization.

5089248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5089248 is about 2255.9361693098. The cubic root of 5089248 is about 172.0090134090.

It can be divided in two parts, 50 and 89248, that added together give a palindrome (89298).

The spelling of 5089248 in words is "five million, eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 431 492 656 738 862 984 1293 1312 1476 1724 1968 2586 2952 3448 3879 3936 5172 5904 6896 7758 10344 11808 13792 15516 17671 20688 31032 35342 41376 53013 62064 70684 106026 124128 141368 159039 212052 282736 318078 424104 565472 636156 848208 1272312 1696416 2544624 5089248