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5261382 = 233731449
BaseRepresentation
bin10100000100100001000110
3100220022021000
4110010201012
52321331012
6304434130
762502210
oct24044106
910808230
105261382
112a73a55
121918946
131122a59
149ad5b0
156ddddc
hex504846

5261382 has 64 divisors (see below), whose sum is σ = 13824000. Its totient is φ = 1451520.

The previous prime is 5261359. The next prime is 5261387. The reversal of 5261382 is 2831625.

5261382 is a `hidden beast` number, since 526 + 138 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5261387) 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 31 ways as a sum of consecutive naturals, for example, 11494 + ... + 11942.

It is an arithmetic number, because the mean of its divisors is an integer number (216000).

Almost surely, 25261382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5261382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912000).

5261382 is an abundant number, since it is smaller than the sum of its proper divisors (8562618).

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

5261382 is a wasteful number, since it uses less digits than its factorization.

5261382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 5261382 is about 2293.7702587661. The cubic root of 5261382 is about 173.9268420157.

The spelling of 5261382 in words is "five million, two hundred sixty-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 449 558 651 837 898 1302 1347 1674 1953 2694 3143 3906 4041 5859 6286 8082 9429 11718 12123 13919 18858 24246 27838 28287 41757 56574 83514 84861 97433 125271 169722 194866 250542 292299 375813 584598 751626 876897 1753794 2630691 5261382