Search a number
-
+
8390844 = 22337111009
BaseRepresentation
bin100000000000…
…100010111100
3120210022002000
4200000202330
54122001334
6455502300
7131215050
oct40004274
916708060
108390844
114811190
122987990
13197a2c7
141185c60
15b0b299
hex8008bc

8390844 has 96 divisors (see below), whose sum is σ = 27148800. Its totient is φ = 2177280.

The previous prime is 8390819. The next prime is 8390857. The reversal of 8390844 is 4480938.

8390844 is digitally balanced in base 5, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 8390799 and 8390808.

It is a congruent number.

It is an unprimeable number.

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, 7812 + ... + 8820.

It is an arithmetic number, because the mean of its divisors is an integer number (282800).

Almost surely, 28390844 is an apocalyptic number.

8390844 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8390844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13574400).

8390844 is an abundant number, since it is smaller than the sum of its proper divisors (18757956).

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

8390844 is a wasteful number, since it uses less digits than its factorization.

8390844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8390844 is about 2896.6953585077. The cubic root of 8390844 is about 203.2053863763.

The spelling of 8390844 in words is "eight million, three hundred ninety thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1009 1188 1386 2018 2079 2772 3027 4036 4158 6054 7063 8316 9081 11099 12108 14126 18162 21189 22198 27243 28252 33297 36324 42378 44396 54486 63567 66594 77693 84756 99891 108972 127134 133188 155386 190701 199782 233079 254268 299673 310772 381402 399564 466158 599346 699237 762804 932316 1198692 1398474 2097711 2796948 4195422 8390844