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86941876 = 22721797269
BaseRepresentation
bin1010010111010…
…10000010110100
320001121002211111
411023222002310
5134224120001
612343244404
72103664600
oct513520264
9201532744
1086941876
114509279a
1225149704
1315020cc8
14b792500
157975851
hex52ea0b4

86941876 has 72 divisors (see below), whose sum is σ = 190035720. Its totient is φ = 34578432.

The previous prime is 86941871. The next prime is 86941901. The reversal of 86941876 is 67814968.

It can be written as a sum of positive squares in 4 ways, for example, as 5400976 + 81540900 = 2324^2 + 9030^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86941871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323070 + ... + 323338.

It is an arithmetic number, because the mean of its divisors is an integer number (2639385).

Almost surely, 286941876 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 86941876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95017860).

86941876 is an abundant number, since it is smaller than the sum of its proper divisors (103093844).

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

86941876 is a wasteful number, since it uses less digits than its factorization.

86941876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 392 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The square root of 86941876 is about 9324.2627590604. The cubic root of 86941876 is about 443.0060619437.

The spelling of 86941876 in words is "eighty-six million, nine hundred forty-one thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 97 98 119 194 196 238 269 388 476 538 679 833 1076 1358 1649 1666 1883 2716 3298 3332 3766 4573 4753 6596 7532 9146 9506 11543 13181 18292 19012 23086 26093 26362 32011 46172 52186 52724 64022 80801 104372 128044 161602 182651 224077 323204 365302 443581 448154 730604 887162 896308 1278557 1774324 2557114 3105067 5114228 6210134 12420268 21735469 43470938 86941876