Search a number
-
+
5357268 = 2232723037
BaseRepresentation
bin10100011011111011010100
3101002011210100
4110123323110
52332413033
6310454100
763351600
oct24337324
911064710
105357268
113029aa4
121964330
1311575a7
149d6500
1570c513
hex51bed4

5357268 has 54 divisors (see below), whose sum is σ = 15758106. Its totient is φ = 1530144.

The previous prime is 5357249. The next prime is 5357299. The reversal of 5357268 is 8627535.

It can be written as a sum of positive squares in only one way, i.e., 5143824 + 213444 = 2268^2 + 462^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 246 + ... + 3282.

Almost surely, 25357268 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 5357268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879053).

5357268 is an abundant number, since it is smaller than the sum of its proper divisors (10400838).

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

5357268 is a wasteful number, since it uses less digits than its factorization.

5357268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3049 counting only the distinct ones).

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

The square root of 5357268 is about 2314.5772832204. The cubic root of 5357268 is about 174.9770636607.

It can be divided in two parts, 5357 and 268, that added together give a square (5625 = 752).

The spelling of 5357268 in words is "five million, three hundred fifty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 3037 6074 9111 12148 18222 21259 27333 36444 42518 54666 63777 85036 109332 127554 148813 191331 255108 297626 382662 446439 595252 765324 892878 1339317 1785756 2678634 5357268