Search a number
-
+
5295024 = 2433717103
BaseRepresentation
bin10100001100101110110000
3100222000102000
4110030232300
52323420044
6305254000
763002250
oct24145660
910860360
105295024
112a97259
121934300
131135167
149bb960
156e8d69
hex50cbb0

5295024 has 160 divisors (see below), whose sum is σ = 18570240. Its totient is φ = 1410048.

The previous prime is 5295001. The next prime is 5295029. The reversal of 5295024 is 4205925.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5295029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51357 + ... + 51459.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

Almost surely, 25295024 is an apocalyptic number.

5295024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5295024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285120).

5295024 is an abundant number, since it is smaller than the sum of its proper divisors (13275216).

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

5295024 is a wasteful number, since it uses less digits than its factorization.

5295024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5295024 is about 2301.0919147222. The cubic root of 5295024 is about 174.2967587478.

The spelling of 5295024 in words is "five million, two hundred ninety-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 103 108 112 119 126 136 144 153 168 189 204 206 216 238 252 272 306 309 336 357 378 408 412 432 459 476 504 612 618 714 721 756 816 824 918 927 952 1008 1071 1224 1236 1428 1442 1512 1648 1751 1836 1854 1904 2142 2163 2448 2472 2781 2856 2884 3024 3213 3502 3672 3708 4284 4326 4944 5253 5562 5712 5768 6426 6489 7004 7344 7416 8568 8652 10506 11124 11536 12257 12852 12978 14008 14832 15759 17136 17304 19467 21012 22248 24514 25704 25956 28016 31518 34608 36771 38934 42024 44496 47277 49028 51408 51912 63036 73542 77868 84048 94554 98056 103824 110313 126072 147084 155736 189108 196112 220626 252144 294168 311472 330939 378216 441252 588336 661878 756432 882504 1323756 1765008 2647512 5295024