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5338410 = 2357112311
BaseRepresentation
bin10100010111010100101010
3101001012220220
4110113110222
52331312120
6310230510
763242610
oct24272452
911035826
105338410
113016910
121955436
13114bb2c
149cd6b0
15706b40
hex51752a

5338410 has 64 divisors (see below), whose sum is σ = 15980544. Its totient is φ = 1108800.

The previous prime is 5338409. The next prime is 5338427. The reversal of 5338410 is 148335.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1155 + ... + 3465.

It is an arithmetic number, because the mean of its divisors is an integer number (249696).

Almost surely, 25338410 is an apocalyptic number.

It is a pronic number, being equal to 2310×2311.

It is a practical number, because each smaller number is the sum of distinct divisors of 5338410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7990272).

5338410 is an abundant number, since it is smaller than the sum of its proper divisors (10642134).

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

5338410 is a wasteful number, since it uses less digits than its factorization.

5338410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5338410 is about 2310.4999458992. The cubic root of 5338410 is about 174.7715113275.

The spelling of 5338410 in words is "five million, three hundred thirty-eight thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 2311 4622 6933 11555 13866 16177 23110 25421 32354 34665 48531 50842 69330 76263 80885 97062 127105 152526 161770 177947 242655 254210 355894 381315 485310 533841 762630 889735 1067682 1779470 2669205 5338410