Search a number
-
+
5383328 = 25295801
BaseRepresentation
bin10100100010010010100000
3101010111112112
4110202102200
52334231303
6311214452
763520556
oct24422240
911114475
105383328
113047635
121977428
131166402
14a01bd6
157150d8
hex5224a0

5383328 has 24 divisors (see below), whose sum is σ = 10965780. Its totient is φ = 2598400.

The previous prime is 5383321. The next prime is 5383351. The reversal of 5383328 is 8233835.

It can be written as a sum of positive squares in 2 ways, for example, as 4787344 + 595984 = 2188^2 + 772^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5383294 and 5383303.

It is not an unprimeable number, because it can be changed into a prime (5383321) 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 3 ways as a sum of consecutive naturals, for example, 1973 + ... + 3828.

Almost surely, 25383328 is an apocalyptic number.

5383328 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

5383328 is an abundant number, since it is smaller than the sum of its proper divisors (5582452).

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

5383328 is a wasteful number, since it uses less digits than its factorization.

5383328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5832 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 5383328 is about 2320.1999913801. The cubic root of 5383328 is about 175.2603254797.

The spelling of 5383328 in words is "five million, three hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 5801 11602 23204 46408 92816 168229 185632 336458 672916 1345832 2691664 5383328