Search a number
-
+
5293188 = 223417312
BaseRepresentation
bin10100001100010010000100
3100221220220000
4110030102010
52323340223
6305241300
762664015
oct24142204
910856800
105293188
112a9593a
121933230
131134384
149bb00c
156e8543
hex50c484

5293188 has 90 divisors (see below), whose sum is σ = 15139278. Its totient is φ = 1607040.

The previous prime is 5293181. The next prime is 5293199. The reversal of 5293188 is 8813925.

It can be written as a sum of positive squares in only one way, i.e., 4981824 + 311364 = 2232^2 + 558^2 .

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5293181) 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 29 ways as a sum of consecutive naturals, for example, 170733 + ... + 170763.

Almost surely, 25293188 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 5293188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7569639).

5293188 is an abundant number, since it is smaller than the sum of its proper divisors (9846090).

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

5293188 is a wasteful number, since it uses less digits than its factorization.

5293188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 5293188 is about 2300.6929390947. The cubic root of 5293188 is about 174.2766111625.

The spelling of 5293188 in words is "five million, two hundred ninety-three thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 81 93 102 108 124 153 162 186 204 279 306 324 372 459 527 558 612 837 918 961 1054 1116 1377 1581 1674 1836 1922 2108 2511 2754 2883 3162 3348 3844 4743 5022 5508 5766 6324 8649 9486 10044 11532 14229 16337 17298 18972 25947 28458 32674 34596 42687 49011 51894 56916 65348 77841 85374 98022 103788 147033 155682 170748 196044 294066 311364 441099 588132 882198 1323297 1764396 2646594 5293188