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5358304 = 257191259
BaseRepresentation
bin10100011100001011100000
3101002020012201
4110130023200
52332431204
6310502544
763354610
oct24341340
911066181
105358304
11302a856
121964a54
131157bc3
149d6a40
1570c9a4
hex51c2e0

5358304 has 48 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 2173824.

The previous prime is 5358289. The next prime is 5358307. The reversal of 5358304 is 4038535.

It is a super-2 number, since 2×53583042 = 57422843512832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5358307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3627 + ... + 4885.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 25358304 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 5358304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

5358304 is an abundant number, since it is smaller than the sum of its proper divisors (7342496).

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

5358304 is a wasteful number, since it uses less digits than its factorization.

5358304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 5358304 is about 2314.8010713666. The cubic root of 5358304 is about 174.9883420805.

The spelling of 5358304 in words is "five million, three hundred fifty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 1259 2128 2518 4256 5036 8813 10072 17626 20144 23921 35252 40288 47842 70504 95684 141008 167447 191368 282016 334894 382736 669788 765472 1339576 2679152 5358304