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7082838 = 232767839
BaseRepresentation
bin11011000001001101010110
3111022211211100
4123001031112
53303122323
6411450530
7114126450
oct33011526
914284740
107082838
113aa8494
122456a46
13160cb39
14d252d0
1594d943
hex6c1356

7082838 has 48 divisors (see below), whose sum is σ = 17821440. Its totient is φ = 1991088.

The previous prime is 7082837. The next prime is 7082857. The reversal of 7082838 is 8382807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7082833) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8023 + ... + 8861.

It is an arithmetic number, because the mean of its divisors is an integer number (371280).

Almost surely, 27082838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7082838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910720).

7082838 is an abundant number, since it is smaller than the sum of its proper divisors (10738602).

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

7082838 is a wasteful number, since it uses less digits than its factorization.

7082838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7082838 is about 2661.3601785553. The cubic root of 7082838 is about 192.0447486844.

The spelling of 7082838 in words is "seven million, eighty-two thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 839 938 1206 1407 1678 2517 2814 4221 5034 5873 7551 8442 11746 15102 17619 35238 52857 56213 105714 112426 168639 337278 393491 505917 786982 1011834 1180473 2360946 3541419 7082838