Search a number
-
+
86978556 = 223371031117
BaseRepresentation
bin1010010111100…
…10111111111100
320001122222011000
411023302333330
5134231303211
612344130300
72104206540
oct513627774
9201588130
1086978556
1145108305
1225166990
1315034902
14b7a1a20
157981656
hex52f2ffc

86978556 has 96 divisors (see below), whose sum is σ = 260449280. Its totient is φ = 24587712.

The previous prime is 86978539. The next prime is 86978581. The reversal of 86978556 is 65587968.

86978556 is a `hidden beast` number, since 86 + 9 + 7 + 8 + 556 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77310 + ... + 78426.

Almost surely, 286978556 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 86978556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130224640).

86978556 is an abundant number, since it is smaller than the sum of its proper divisors (173470724).

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

86978556 is a wasteful number, since it uses less digits than its factorization.

86978556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1232 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 86978556 is about 9326.2294631861. The cubic root of 86978556 is about 443.0683532831.

The spelling of 86978556 in words is "eighty-six million, nine hundred seventy-eight thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 103 108 126 189 206 252 309 378 412 618 721 756 927 1117 1236 1442 1854 2163 2234 2781 2884 3351 3708 4326 4468 5562 6489 6702 7819 8652 10053 11124 12978 13404 15638 19467 20106 23457 25956 30159 31276 38934 40212 46914 60318 70371 77868 93828 115051 120636 140742 211113 230102 281484 345153 422226 460204 690306 805357 844452 1035459 1380612 1610714 2070918 2416071 3106377 3221428 4141836 4832142 6212754 7248213 9664284 12425508 14496426 21744639 28992852 43489278 86978556