Search a number
-
+
86112544 = 2573112401
BaseRepresentation
bin1010010000111…
…11100100100000
320000000222012111
411020133210200
5134021100134
612313405104
72063641660
oct510374440
9200028174
1086112544
11446766a1
1224a09794
1314ac068b
14b6181a0
15785ec64
hex521f920

86112544 has 48 divisors (see below), whose sum is σ = 200019456. Its totient is φ = 35712000.

The previous prime is 86112527. The next prime is 86112577. The reversal of 86112544 is 44521168.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 744 + ... + 13144.

It is an arithmetic number, because the mean of its divisors is an integer number (4167072).

Almost surely, 286112544 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 86112544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100009728).

86112544 is an abundant number, since it is smaller than the sum of its proper divisors (113906912).

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

86112544 is a wasteful number, since it uses less digits than its factorization.

86112544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12449 (or 12441 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 86112544 is about 9279.6844773947. The cubic root of 86112544 is about 441.5929587374.

The spelling of 86112544 in words is "eighty-six million, one hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 12401 24802 49604 86807 99208 173614 198416 347228 384431 396832 694456 768862 1388912 1537724 2691017 2777824 3075448 5382034 6150896 10764068 12301792 21528136 43056272 86112544