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5238414 = 2321721953
BaseRepresentation
bin10011111110111010001110
3100212010202100
4103332322032
52320112124
6304135530
762345226
oct23767216
910763670
105238414
112a58775
1219075a6
13111546c
149a5086
156d71c9
hex4fee8e

5238414 has 72 divisors (see below), whose sum is σ = 12930840. Its totient is φ = 1527552.

The previous prime is 5238403. The next prime is 5238419. The reversal of 5238414 is 4148325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5238419) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98812 + ... + 98864.

It is an arithmetic number, because the mean of its divisors is an integer number (179595).

Almost surely, 25238414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5238414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6465420).

5238414 is an abundant number, since it is smaller than the sum of its proper divisors (7692426).

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

5238414 is a wasteful number, since it uses less digits than its factorization.

5238414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 5238414 is about 2288.7581785763. The cubic root of 5238414 is about 173.6733865083.

The spelling of 5238414 in words is "five million, two hundred thirty-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 53 57 102 106 114 153 159 171 289 306 318 323 342 477 578 646 867 901 954 969 1007 1734 1802 1938 2014 2601 2703 2907 3021 5202 5406 5491 5814 6042 8109 9063 10982 15317 16218 16473 17119 18126 30634 32946 34238 45951 49419 51357 91902 98838 102714 137853 154071 275706 291023 308142 582046 873069 1746138 2619207 5238414