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2682438 = 231197419
BaseRepresentation
bin1010001110111001000110
312001021121120
422032321012
51141314223
6133254410
731541343
oct12167106
95037546
102682438
1115723a0
12a94406
1372bc55
144db7ca
1537ebe3
hex28ee46

2682438 has 32 divisors (see below), whose sum is σ = 5927040. Its totient is φ = 802560.

The previous prime is 2682397. The next prime is 2682457. The reversal of 2682438 is 8342862.

2682438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2682399 and 2682408.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6193 + ... + 6611.

It is an arithmetic number, because the mean of its divisors is an integer number (185220).

22682438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2682438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963520).

2682438 is an abundant number, since it is smaller than the sum of its proper divisors (3244602).

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

2682438 is a wasteful number, since it uses less digits than its factorization.

2682438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532.

The product of its digits is 18432, while the sum is 33.

The square root of 2682438 is about 1637.8150078687. The cubic root of 2682438 is about 138.9450984810.

It can be divided in two parts, 26824 and 38, that added together give a palindrome (26862).

The spelling of 2682438 in words is "two million, six hundred eighty-two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 97 194 291 419 582 838 1067 1257 2134 2514 3201 4609 6402 9218 13827 27654 40643 81286 121929 243858 447073 894146 1341219 2682438