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985422024 = 233410871399
BaseRepresentation
bin111010101111000…
…101100011001000
32112200020121220000
4322233011203020
54004232001044
6241441003000
733263643336
oct7257054310
92480217800
10985422024
11466277174
12236023460
13129204972
1494c34b56
155b7a1d69
hex3abc58c8

985422024 has 80 divisors (see below), whose sum is σ = 2764608000. Its totient is φ = 327937248.

The previous prime is 985422019. The next prime is 985422041. The reversal of 985422024 is 420224589.

985422024 is a `hidden beast` number, since 98 + 542 + 2 + 0 + 24 = 666.

985422024 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 985422024.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 703677 + ... + 705075.

It is an arithmetic number, because the mean of its divisors is an integer number (34557600).

Almost surely, 2985422024 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 985422024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382304000).

985422024 is an abundant number, since it is smaller than the sum of its proper divisors (1779185976).

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

985422024 is a wasteful number, since it uses less digits than its factorization.

985422024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 985422024 is about 31391.4323343170. The cubic root of 985422024 is about 995.1168685062.

It can be divided in two parts, 9854 and 22024, that added together give a triangular number (31878 = T252).

The spelling of 985422024 in words is "nine hundred eighty-five million, four hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1087 1399 2174 2798 3261 4197 4348 5596 6522 8394 8696 9783 11192 12591 13044 16788 19566 25182 26088 29349 33576 37773 39132 50364 58698 75546 78264 88047 100728 113319 117396 151092 176094 226638 234792 302184 352188 453276 704376 906552 1520713 3041426 4562139 6082852 9124278 12165704 13686417 18248556 27372834 36497112 41059251 54745668 82118502 109491336 123177753 164237004 246355506 328474008 492711012 985422024