Search a number
-
+
86883808 = 25112191181
BaseRepresentation
bin1010010110110…
…11110111100000
320001111011011211
411023123313200
5134220240213
612342115504
72103333364
oct513336740
9201434154
1086883808
1145053100
122511bb94
131500074b
14b7792a4
15796353d
hex52dbde0

86883808 has 72 divisors (see below), whose sum is σ = 198079560. Its totient is φ = 37382400.

The previous prime is 86883803. The next prime is 86883869. The reversal of 86883808 is 80838868.

It is a happy number.

It is a super-5 number, since 5×868838085 (a number of 41 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86883803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72978 + ... + 74158.

It is an arithmetic number, because the mean of its divisors is an integer number (2751105).

Almost surely, 286883808 is an apocalyptic number.

86883808 is a gapful number since it is divisible by the number (88) 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 86883808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99039780).

86883808 is an abundant number, since it is smaller than the sum of its proper divisors (111195752).

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

86883808 is a wasteful number, since it uses less digits than its factorization.

86883808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The square root of 86883808 is about 9321.1484270985. The cubic root of 86883808 is about 442.9074128753.

The spelling of 86883808 in words is "eighty-six million, eight hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 121 152 176 209 242 304 352 418 484 608 836 968 1181 1672 1936 2299 2362 3344 3872 4598 4724 6688 9196 9448 12991 18392 18896 22439 25982 36784 37792 44878 51964 73568 89756 103928 142901 179512 207856 246829 285802 359024 415712 493658 571604 718048 987316 1143208 1974632 2286416 2715119 3949264 4572832 5430238 7898528 10860476 21720952 43441904 86883808