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86228058 = 2372323881
BaseRepresentation
bin1010010001110…
…11110001011010
320000020211122210
411020323301122
5134033244213
612320055550
72064632520
oct510736132
9200224583
1086228058
1144745464
1224a645b6
1314b31127
14b648310
1578840c3
hex523bc5a

86228058 has 48 divisors (see below), whose sum is σ = 206087616. Its totient is φ = 23559360.

The previous prime is 86228039. The next prime is 86228069. The reversal of 86228058 is 85082268.

It is a super-3 number, since 3×862280583 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20278 + ... + 24158.

It is an arithmetic number, because the mean of its divisors is an integer number (4293492).

Almost surely, 286228058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86228058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103043808).

86228058 is an abundant number, since it is smaller than the sum of its proper divisors (119859558).

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

86228058 is a wasteful number, since it uses less digits than its factorization.

86228058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 86228058 is about 9285.9064177925. The cubic root of 86228058 is about 441.7903259454.

It can be divided in two parts, 862 and 28058, that added together give a triangular number (28920 = T240).

The spelling of 86228058 in words is "eighty-six million, two hundred twenty-eight thousand, fifty-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 529 966 1058 1587 3174 3703 3881 7406 7762 11109 11643 22218 23286 27167 54334 81501 89263 163002 178526 267789 535578 624841 1249682 1874523 2053049 3749046 4106098 6159147 12318294 14371343 28742686 43114029 86228058