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86212434 = 23711191977
BaseRepresentation
bin1010010001101…
…11111101010010
320000020001020010
411020313331102
5134032244214
612315455350
72064536130
oct510677522
9200201203
1086212434
1144734750
1224a57556
1314b26c99
14b642750
15787e659
hex5237f52

86212434 has 64 divisors (see below), whose sum is σ = 216317952. Its totient is φ = 22252800.

The previous prime is 86212421. The next prime is 86212439. The reversal of 86212434 is 43421268.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86212439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87754 + ... + 88730.

It is an arithmetic number, because the mean of its divisors is an integer number (3379968).

Almost surely, 286212434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86212434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108158976).

86212434 is an abundant number, since it is smaller than the sum of its proper divisors (130105518).

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

86212434 is a wasteful number, since it uses less digits than its factorization.

86212434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191.

The product of its digits is 9216, while the sum is 30.

The square root of 86212434 is about 9285.0651047798. The cubic root of 86212434 is about 441.7636410930.

The spelling of 86212434 in words is "eighty-six million, two hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 191 231 382 462 573 977 1146 1337 1954 2101 2674 2931 4011 4202 5862 6303 6839 8022 10747 12606 13678 14707 20517 21494 29414 32241 41034 44121 64482 75229 88242 150458 186607 225687 373214 451374 559821 1119642 1306249 2052677 2612498 3918747 4105354 6158031 7837494 12316062 14368739 28737478 43106217 86212434