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86329122 = 231119431601
BaseRepresentation
bin1010010010101…
…00011100100010
320000102222021220
411021110130202
5134100012442
612322155510
72065533255
oct511243442
9200388256
1086329122
1144804390
1224ab2b96
1314b68129
14b67309c
1578a3eec
hex5254722

86329122 has 64 divisors (see below), whose sum is σ = 203005440. Its totient is φ = 24192000.

The previous prime is 86329121. The next prime is 86329129. The reversal of 86329122 is 22192368.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (86329121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53122 + ... + 54722.

It is an arithmetic number, because the mean of its divisors is an integer number (3171960).

Almost surely, 286329122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86329122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101502720).

86329122 is an abundant number, since it is smaller than the sum of its proper divisors (116676318).

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

86329122 is a wasteful number, since it uses less digits than its factorization.

86329122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679.

The product of its digits is 10368, while the sum is 33.

The square root of 86329122 is about 9291.3466193012. The cubic root of 86329122 is about 441.9628593650.

The spelling of 86329122 in words is "eighty-six million, three hundred twenty-nine thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 43 57 66 86 114 129 209 258 418 473 627 817 946 1254 1419 1601 1634 2451 2838 3202 4803 4902 8987 9606 17611 17974 26961 30419 35222 52833 53922 60838 68843 91257 105666 137686 182514 206529 334609 413058 669218 757273 1003827 1308017 1514546 2007654 2271819 2616034 3924051 4543638 7848102 14388187 28776374 43164561 86329122