Search a number
-
+
86574684 = 22371377523
BaseRepresentation
bin1010010100100…
…00011001011100
320000220110010210
411022100121130
5134130342214
612331332420
72100605220
oct512203134
9200813123
1086574684
1144961929
1224bb1110
1314c22b31
14b6d8780
157901b59
hex529065c

86574684 has 48 divisors (see below), whose sum is σ = 232581888. Its totient is φ = 24551808.

The previous prime is 86574647. The next prime is 86574689. The reversal of 86574684 is 48647568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86574689) 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 15 ways as a sum of consecutive naturals, for example, 7747 + ... + 15269.

It is an arithmetic number, because the mean of its divisors is an integer number (4845456).

Almost surely, 286574684 is an apocalyptic number.

86574684 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86574684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116290944).

86574684 is an abundant number, since it is smaller than the sum of its proper divisors (146007204).

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

86574684 is a wasteful number, since it uses less digits than its factorization.

86574684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7674 (or 7672 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 86574684 is about 9304.5517893126. The cubic root of 86574684 is about 442.3815150867.

The spelling of 86574684 in words is "eighty-six million, five hundred seventy-four thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 959 1644 1918 2877 3836 5754 7523 11508 15046 22569 30092 45138 52661 90276 105322 157983 210644 315966 631932 1030651 2061302 3091953 4122604 6183906 7214557 12367812 14429114 21643671 28858228 43287342 86574684