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985086912 = 26347173631
BaseRepresentation
bin111010101101110…
…011101111000000
32112122121121012110
4322231303233000
54004140240122
6241425455320
733261046335
oct7255635700
92478547173
10985086912
11466068417
12235aa1540
13129118284
1494b8898c
155b73790c
hex3ab73bc0

985086912 has 112 divisors (see below), whose sum is σ = 2681459712. Its totient is φ = 319011840.

The previous prime is 985086887. The next prime is 985086919. The reversal of 985086912 is 219680589.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985086919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1560837 + ... + 1561467.

Almost surely, 2985086912 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 985086912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340729856).

985086912 is an abundant number, since it is smaller than the sum of its proper divisors (1696372800).

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

985086912 is a wasteful number, since it uses less digits than its factorization.

985086912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 985086912 is about 31386.0942457006. The cubic root of 985086912 is about 995.0040527431.

The spelling of 985086912 in words is "nine hundred eighty-five million, eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 173 188 192 282 346 376 519 564 631 692 752 1038 1128 1262 1384 1504 1893 2076 2256 2524 2768 3008 3786 4152 4512 5048 5536 7572 8131 8304 9024 10096 11072 15144 16262 16608 20192 24393 29657 30288 32524 33216 40384 48786 59314 60576 65048 88971 97572 109163 118628 121152 130096 177942 195144 218326 237256 260192 327489 355884 390288 436652 474512 520384 654978 711768 780576 873304 949024 1309956 1423536 1561152 1746608 1898048 2619912 2847072 3493216 5130661 5239824 5694144 6986432 10261322 10479648 15391983 20522644 20959296 30783966 41045288 61567932 82090576 123135864 164181152 246271728 328362304 492543456 985086912