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5356728 = 2332135997
BaseRepresentation
bin10100011011110010111000
3101002011001100
4110123302320
52332403403
6310451400
763350166
oct24336270
911064040
105356728
113029653
121963b60
131157280
149d6236
1570c2a3
hex51bcb8

5356728 has 96 divisors (see below), whose sum is σ = 16052400. Its totient is φ = 1603584.

The previous prime is 5356711. The next prime is 5356739. The reversal of 5356728 is 8276535.

5356728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 5356692 and 5356701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55176 + ... + 55272.

Almost surely, 25356728 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 5356728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8026200).

5356728 is an abundant number, since it is smaller than the sum of its proper divisors (10695672).

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

5356728 is a wasteful number, since it uses less digits than its factorization.

5356728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 174 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5356728 is about 2314.4606283106. The cubic root of 5356728 is about 174.9711843711.

It can be divided in two parts, 5356 and 728, that added together give a square (6084 = 782).

The spelling of 5356728 in words is "five million, three hundred fifty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 59 72 78 97 104 117 118 156 177 194 234 236 291 312 354 388 468 472 531 582 708 767 776 873 936 1062 1164 1261 1416 1534 1746 2124 2301 2328 2522 3068 3492 3783 4248 4602 5044 5723 6136 6903 6984 7566 9204 10088 11349 11446 13806 15132 17169 18408 22698 22892 27612 30264 34338 45396 45784 51507 55224 68676 74399 90792 103014 137352 148798 206028 223197 297596 412056 446394 595192 669591 892788 1339182 1785576 2678364 5356728