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5319424 = 28111889
BaseRepresentation
bin10100010010101100000000
3101000020212201
4110102230000
52330210144
6310002544
763133345
oct24225400
911006781
105319424
113003620
121946454
1311432b6
149c67cc
157011d4
hex512b00

5319424 has 36 divisors (see below), whose sum is σ = 11589480. Its totient is φ = 2416640.

The previous prime is 5319421. The next prime is 5319427. The reversal of 5319424 is 4249135.

5319424 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5319421) and next prime (5319427).

It is a d-powerful number, because it can be written as 55 + 312 + 1 + 93 + 48 + 219 + 411 .

It is a junction number, because it is equal to n+sod(n) for n = 5319392 and 5319401.

It is not an unprimeable number, because it can be changed into a prime (5319421) 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, 1872 + ... + 3760.

It is an arithmetic number, because the mean of its divisors is an integer number (321930).

Almost surely, 25319424 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 5319424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5794740).

5319424 is an abundant number, since it is smaller than the sum of its proper divisors (6270056).

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

5319424 is a wasteful number, since it uses less digits than its factorization.

5319424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1902 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 5319424 is about 2306.3876517186. The cubic root of 5319424 is about 174.5640741921.

The spelling of 5319424 in words is "five million, three hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 1889 2816 3778 7556 15112 20779 30224 41558 60448 83116 120896 166232 241792 332464 483584 664928 1329856 2659712 5319424