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5338728 = 233274149
BaseRepresentation
bin10100010111011001101000
3101001020100200
4110113121220
52331314403
6310232200
763243543
oct24273150
911036320
105338728
11301707a
121955660
13114c015
149cd85a
15706ca3
hex517668

5338728 has 24 divisors (see below), whose sum is σ = 14459250. Its totient is φ = 1779552.

The previous prime is 5338721. The next prime is 5338747. The reversal of 5338728 is 8278335.

It can be written as a sum of positive squares in only one way, i.e., 4334724 + 1004004 = 2082^2 + 1002^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 5338692 and 5338701.

It is not an unprimeable number, because it can be changed into a prime (5338721) 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 5 ways as a sum of consecutive naturals, for example, 37003 + ... + 37146.

Almost surely, 25338728 is an apocalyptic number.

It is an amenable number.

5338728 is an abundant number, since it is smaller than the sum of its proper divisors (9120522).

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

5338728 is a wasteful number, since it uses less digits than its factorization.

5338728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74161 (or 74154 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 5338728 is about 2310.5687611495. The cubic root of 5338728 is about 174.7749815391.

It can be divided in two parts, 533 and 8728, that added together give a cube (9261 = 213).

The spelling of 5338728 in words is "five million, three hundred thirty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 74149 148298 222447 296596 444894 593192 667341 889788 1334682 1779576 2669364 5338728