Search a number
-
+
986338542 = 23727942467
BaseRepresentation
bin111010110010100…
…101010011101110
32112201222012010010
4322302211103232
54010000313132
6241512354050
733304511400
oct7262452356
92481865103
10986338542
11466842822
122363a5926
13129465b97
1494dd2b70
155b8d36cc
hex3aca54ee

986338542 has 48 divisors (see below), whose sum is σ = 2323848960. Its totient is φ = 278237232.

The previous prime is 986338511. The next prime is 986338571. The reversal of 986338542 is 245833689.

It is a junction number, because it is equal to n+sod(n) for n = 986338491 and 986338500.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1993 + ... + 44459.

It is an arithmetic number, because the mean of its divisors is an integer number (48413520).

Almost surely, 2986338542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 986338542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161924480).

986338542 is an abundant number, since it is smaller than the sum of its proper divisors (1337510418).

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

986338542 is a wasteful number, since it uses less digits than its factorization.

986338542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42565 (or 42558 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 986338542 is about 31406.0271604035. The cubic root of 986338542 is about 995.4252845585.

The spelling of 986338542 in words is "nine hundred eighty-six million, three hundred thirty-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 79 98 147 158 237 294 474 553 1106 1659 3318 3871 7742 11613 23226 42467 84934 127401 254802 297269 594538 891807 1783614 2080883 3354893 4161766 6242649 6709786 10064679 12485298 20129358 23484251 46968502 70452753 140905506 164389757 328779514 493169271 986338542