Search a number
-
+
86366896 = 2471126373
BaseRepresentation
bin1010010010111…
…01101010110000
320000111220002221
411021131222300
5134102220041
612323050424
72066051350
oct511355260
9200456087
1086366896
114482a800
1224b10a14
1314b7c395
14b682b60
1578b02d1
hex525dab0

86366896 has 60 divisors (see below), whose sum is σ = 210240016. Its totient is φ = 33644160.

The previous prime is 86366893. The next prime is 86366923. The reversal of 86366896 is 69866368.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (86366893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10366 + ... + 16738.

Almost surely, 286366896 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 86366896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105120008).

86366896 is an abundant number, since it is smaller than the sum of its proper divisors (123873120).

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

86366896 is a wasteful number, since it uses less digits than its factorization.

86366896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410 (or 6393 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 52.

The square root of 86366896 is about 9293.3791486197. The cubic root of 86366896 is about 442.0273114305.

The spelling of 86366896 in words is "eighty-six million, three hundred sixty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 616 847 968 1232 1694 1936 3388 6373 6776 12746 13552 25492 44611 50984 70103 89222 101968 140206 178444 280412 356888 490721 560824 713776 771133 981442 1121648 1542266 1962884 3084532 3925768 5397931 6169064 7851536 10795862 12338128 21591724 43183448 86366896