Search a number
-
+
86381862 = 23717337359
BaseRepresentation
bin1010010011000…
…01010100100110
320000112122122020
411021201110212
5134103204422
612323244010
72066143110
oct511412446
9200478566
1086381862
114483aa76
1224b19606
1314b86138
14b6883b0
1578b495c
hex5261526

86381862 has 64 divisors (see below), whose sum is σ = 210263040. Its totient is φ = 23095296.

The previous prime is 86381861. The next prime is 86381863. The reversal of 86381862 is 26818368.

It is an interprime number because it is at equal distance from previous prime (86381861) and next prime (86381863).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86381861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240439 + ... + 240797.

It is an arithmetic number, because the mean of its divisors is an integer number (3285360).

Almost surely, 286381862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86381862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105131520).

86381862 is an abundant number, since it is smaller than the sum of its proper divisors (123881178).

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

86381862 is a wasteful number, since it uses less digits than its factorization.

86381862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725.

The product of its digits is 110592, while the sum is 42.

The square root of 86381862 is about 9294.1843106321. The cubic root of 86381862 is about 442.0528420406.

The spelling of 86381862 in words is "eighty-six million, three hundred eighty-one thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 337 357 359 674 714 718 1011 1077 2022 2154 2359 2513 4718 5026 5729 6103 7077 7539 11458 12206 14154 15078 17187 18309 34374 36618 40103 42721 80206 85442 120309 120983 128163 240618 241966 256326 362949 725898 846881 1693762 2056711 2540643 4113422 5081286 6170133 12340266 14396977 28793954 43190931 86381862