Search a number
-
+
5293428 = 2237294153
BaseRepresentation
bin10100001100010101110100
3100221221012220
4110030111310
52323342203
6305242340
762664510
oct24142564
910857186
105293428
112a96038
1219333b0
13113450a
149bb140
156e8653
hex50c574

5293428 has 96 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 1397760.

The previous prime is 5293417. The next prime is 5293433. The reversal of 5293428 is 8243925.

It is a happy number.

Its product of digits (17280) is a multiple of the sum of its prime divisors (135).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99850 + ... + 99902.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 25293428 is an apocalyptic number.

5293428 is a gapful number since it is divisible by the number (58) 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 5293428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

5293428 is an abundant number, since it is smaller than the sum of its proper divisors (9947532).

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

5293428 is a wasteful number, since it uses less digits than its factorization.

5293428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 135 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 5293428 is about 2300.7450967024. The cubic root of 5293428 is about 174.2792450984.

The spelling of 5293428 in words is "five million, two hundred ninety-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 41 42 53 58 82 84 87 106 116 123 159 164 174 203 212 246 287 318 348 371 406 492 574 609 636 742 812 861 1113 1148 1189 1218 1484 1537 1722 2173 2226 2378 2436 3074 3444 3567 4346 4452 4611 4756 6148 6519 7134 8323 8692 9222 10759 13038 14268 15211 16646 18444 21518 24969 26076 30422 32277 33292 43036 45633 49938 60844 63017 64554 91266 99876 126034 129108 182532 189051 252068 378102 441119 756204 882238 1323357 1764476 2646714 5293428