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5376084 = 2237241223
BaseRepresentation
bin10100100000100001010100
3101010010121020
4110200201110
52334013314
6311121140
763460500
oct24404124
911103536
105376084
11304214a
1219731b0
13116301c
149dd300
15712da9
hex520854

5376084 has 72 divisors (see below), whose sum is σ = 15015168. Its totient is φ = 1491840.

The previous prime is 5376083. The next prime is 5376101. The reversal of 5376084 is 4806735.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5376083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23997 + ... + 24219.

It is an arithmetic number, because the mean of its divisors is an integer number (208544).

Almost surely, 25376084 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 5376084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507584).

5376084 is an abundant number, since it is smaller than the sum of its proper divisors (9639084).

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

5376084 is a wasteful number, since it uses less digits than its factorization.

5376084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5376084 is about 2318.6383935405. The cubic root of 5376084 is about 175.1816779906.

The spelling of 5376084 in words is "five million, three hundred seventy-six thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 223 246 287 294 446 492 574 588 669 861 892 1148 1338 1561 1722 2009 2676 3122 3444 4018 4683 6027 6244 8036 9143 9366 10927 12054 18286 18732 21854 24108 27429 32781 36572 43708 54858 64001 65562 109716 128002 131124 192003 256004 384006 448007 768012 896014 1344021 1792028 2688042 5376084