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986609104 = 241323271761
BaseRepresentation
bin111010110011100…
…111010111010000
32112202110221020221
4322303213113100
54010032442404
6241522242424
733310016245
oct7263472720
92482427227
10986609104
11466a08028
122364b6414
1312952c090
14950635cc
155b938954
hex3ace75d0

986609104 has 80 divisors (see below), whose sum is σ = 2158861824. Its totient is φ = 433382400.

The previous prime is 986609083. The next prime is 986609147. The reversal of 986609104 is 401906689.

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 15 ways as a sum of consecutive naturals, for example, 1296084 + ... + 1296844.

Almost surely, 2986609104 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 986609104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079430912).

986609104 is an abundant number, since it is smaller than the sum of its proper divisors (1172252720).

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

986609104 is a wasteful number, since it uses less digits than its factorization.

986609104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 986609104 is about 31410.3343503376. The cubic root of 986609104 is about 995.5162944306.

The spelling of 986609104 in words is "nine hundred eighty-six million, six hundred nine thousand, one hundred four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 271 299 368 542 598 761 1084 1196 1522 2168 2392 3044 3523 4336 4784 6088 6233 7046 9893 12176 12466 14092 17503 19786 24932 28184 35006 39572 49864 56368 70012 79144 81029 99728 140024 158288 162058 206231 227539 280048 324116 412462 455078 648232 824924 910156 1296464 1649848 1820312 2681003 3299696 3640624 4743313 5362006 9486626 10724012 18973252 21448024 37946504 42896048 61663069 75893008 123326138 246652276 493304552 986609104