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86112978 = 2371931592
BaseRepresentation
bin1010010000111…
…11101011010010
320000000222210120
411020133223102
5134021103403
612313411110
72063643150
oct510375322
9200028716
1086112978
1144676a56
1224a09a96
1314ac0933
14b6183d0
15785ee53
hex521fad2

86112978 has 96 divisors (see below), whose sum is σ = 217559040. Its totient is φ = 22174560.

The previous prime is 86112953. The next prime is 86112979. The reversal of 86112978 is 87921168.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86112979) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1459513 + ... + 1459571.

It is an arithmetic number, because the mean of its divisors is an integer number (2266240).

Almost surely, 286112978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86112978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108779520).

86112978 is an abundant number, since it is smaller than the sum of its proper divisors (131446062).

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

86112978 is a wasteful number, since it uses less digits than its factorization.

86112978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 121 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 86112978 is about 9279.7078617810. The cubic root of 86112978 is about 441.5937006000.

The spelling of 86112978 in words is "eighty-six million, one hundred twelve thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 59 62 93 114 118 133 177 186 217 266 354 399 413 434 589 651 798 826 1121 1178 1239 1302 1767 1829 2242 2478 3363 3481 3534 3658 4123 5487 6726 6962 7847 8246 10443 10974 12369 12803 15694 20886 23541 24367 24738 25606 34751 38409 47082 48734 66139 69502 73101 76818 104253 107911 132278 146202 198417 208506 215822 243257 323733 396834 462973 486514 647466 729771 755377 925946 1388919 1459542 1510754 2050309 2266131 2777838 4100618 4532262 6150927 12301854 14352163 28704326 43056489 86112978