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86210082 = 23678447
BaseRepresentation
bin1010010001101…
…11011000100010
320000012221000000
411020313120202
5134032210312
612315440430
72064526230
oct510673042
9200187000
1086210082
1144732a02
1224a56116
1314b25baa
14b641950
15787dadc
hex5237622

86210082 has 56 divisors (see below), whose sum is σ = 221607936. Its totient is φ = 24628536.

The previous prime is 86210071. The next prime is 86210107. The reversal of 86210082 is 28001268.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5983 + ... + 14429.

Almost surely, 286210082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86210082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110803968).

86210082 is an abundant number, since it is smaller than the sum of its proper divisors (135397854).

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

86210082 is an equidigital number, since it uses as much as digits as its factorization.

86210082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8474 (or 8459 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 86210082 is about 9284.9384489075. The cubic root of 86210082 is about 441.7596237393.

The spelling of 86210082 in words is "eighty-six million, two hundred ten thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 3402 5103 8447 10206 16894 25341 50682 59129 76023 118258 152046 177387 228069 354774 456138 532161 684207 1064322 1368414 1596483 2052621 3192966 4105242 4789449 6157863 9578898 12315726 14368347 28736694 43105041 86210082