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86786742 = 23721631811
BaseRepresentation
bin1010010110001…
…00001010110110
320001022020000210
411023010022312
5134204133432
612340050250
72102450400
oct513041266
9201266023
1086786742
1144a97189
1225093986
1314c98503
14b751b70
1579448cc
hex52c42b6

86786742 has 48 divisors (see below), whose sum is σ = 203262912. Its totient is φ = 24630480.

The previous prime is 86786681. The next prime is 86786743. The reversal of 86786742 is 24768768.

It is a junction number, because it is equal to n+sod(n) for n = 86786691 and 86786700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86786743) 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, 47017 + ... + 48827.

It is an arithmetic number, because the mean of its divisors is an integer number (4234644).

Almost surely, 286786742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86786742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101631456).

86786742 is an abundant number, since it is smaller than the sum of its proper divisors (116476170).

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

86786742 is a wasteful number, since it uses less digits than its factorization.

86786742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1986 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 86786742 is about 9315.9402101989. The cubic root of 86786742 is about 442.7424136972.

The spelling of 86786742 in words is "eighty-six million, seven hundred eighty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 163 294 326 489 978 1141 1811 2282 3423 3622 5433 6846 7987 10866 12677 15974 23961 25354 38031 47922 76062 88739 177478 266217 295193 532434 590386 885579 1771158 2066351 4132702 6199053 12398106 14464457 28928914 43393371 86786742