Search a number
-
+
985374208 = 2971321149
BaseRepresentation
bin111010101110111…
…001111000000000
32112200011012022001
4322232321320000
54004223433313
6241435553344
733263354050
oct7256717000
92480135261
10985374208
11466244255
12235bbb854
131291b8c80
1494c21560
155b792add
hex3abb9e00

985374208 has 80 divisors (see below), whose sum is σ = 2423282400. Its totient is φ = 389799936.

The previous prime is 985374199. The next prime is 985374217. The reversal of 985374208 is 802473589.

985374208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (985374199) and next prime (985374217).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36018 + ... + 57166.

It is an arithmetic number, because the mean of its divisors is an integer number (30291030).

Almost surely, 2985374208 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 985374208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211641200).

985374208 is an abundant number, since it is smaller than the sum of its proper divisors (1437908192).

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

985374208 is a wasteful number, since it uses less digits than its factorization.

985374208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21187 (or 21171 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 985374208 is about 31390.6707159946. The cubic root of 985374208 is about 995.1007727703.

The spelling of 985374208 in words is "nine hundred eighty-five million, three hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1456 1664 1792 2912 3328 3584 5824 6656 11648 21149 23296 42298 46592 84596 148043 169192 274937 296086 338384 549874 592172 676768 1099748 1184344 1353536 1924559 2199496 2368688 2707072 3849118 4398992 4737376 5414144 7698236 8797984 9474752 10828288 15396472 17595968 18949504 30792944 35191936 37899008 61585888 70383872 75798016 123171776 140767744 246343552 492687104 985374208