Search a number
-
+
986809056 = 253157233281
BaseRepresentation
bin111010110100011…
…000001011100000
32112202212002112120
4322310120023200
54010110342211
6241530424240
733311511222
oct7264301340
92482762476
10986809056
11467034282
12236592080
1312959c0ac
14950b6412
155b977d06
hex3ad182e0

986809056 has 96 divisors (see below), whose sum is σ = 2627378208. Its totient is φ = 324280320.

The previous prime is 986809037. The next prime is 986809073. The reversal of 986809056 is 650908689.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×9868090562 = 1947584226007222272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3511636 + ... + 3511916.

It is an arithmetic number, because the mean of its divisors is an integer number (27368523).

Almost surely, 2986809056 is an apocalyptic number.

986809056 is a gapful number since it is divisible by the number (96) 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 986809056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313689104).

986809056 is an abundant number, since it is smaller than the sum of its proper divisors (1640569152).

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

986809056 is a wasteful number, since it uses less digits than its factorization.

986809056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 986809056 is about 31413.5170905774. The cubic root of 986809056 is about 995.5835422824.

The spelling of 986809056 in words is "nine hundred eighty-six million, eight hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 233 281 314 466 471 562 628 699 843 932 942 1124 1256 1398 1686 1864 1884 2248 2512 2796 3372 3728 3768 4496 5024 5592 6744 7456 7536 8992 11184 13488 15072 22368 26976 36581 44117 65473 73162 88234 109743 130946 132351 146324 176468 196419 219486 261892 264702 292648 352936 392838 438972 523784 529404 585296 705872 785676 877944 1047568 1058808 1170592 1411744 1571352 1755888 2095136 2117616 3142704 3511776 4235232 6285408 10279261 20558522 30837783 41117044 61675566 82234088 123351132 164468176 246702264 328936352 493404528 986809056