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86329012 = 227111272207
BaseRepresentation
bin1010010010101…
…00011010110100
320000102222010211
411021110122310
5134100012022
612322155204
72065533040
oct511243264
9200388124
1086329012
11448042a0
1224ab2b04
1314b68073
14b673020
1578a3e77
hex52546b4

86329012 has 48 divisors (see below), whose sum is σ = 189923328. Its totient is φ = 33354720.

The previous prime is 86328973. The next prime is 86329013. The reversal of 86329012 is 21092368.

It is a super-2 number, since 2×863290122 = 14905396625792288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86329013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38013 + ... + 40219.

It is an arithmetic number, because the mean of its divisors is an integer number (3956736).

Almost surely, 286329012 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 86329012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94961664).

86329012 is an abundant number, since it is smaller than the sum of its proper divisors (103594316).

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

86329012 is a wasteful number, since it uses less digits than its factorization.

86329012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 86329012 is about 9291.3406998129. The cubic root of 86329012 is about 441.9626716495.

The spelling of 86329012 in words is "eighty-six million, three hundred twenty-nine thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 127 154 254 308 508 889 1397 1778 2207 2794 3556 4414 5588 8828 9779 15449 19558 24277 30898 39116 48554 61796 97108 169939 280289 339878 560578 679756 1121156 1962023 3083179 3924046 6166358 7848092 12332716 21582253 43164506 86329012