Search a number
-
+
86807448 = 233271313249
BaseRepresentation
bin1010010110010…
…01001110011000
320001100021102200
411023021032120
5134210314243
612340330200
72102564640
oct513111630
9201307380
1086807448
11450007a2
12250a3960
1314ca4a70
14b759520
15794aad3
hex52c9398

86807448 has 96 divisors (see below), whose sum is σ = 289380000. Its totient is φ = 22892544.

The previous prime is 86807437. The next prime is 86807489. The reversal of 86807448 is 84470868.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73 + ... + 13176.

It is an arithmetic number, because the mean of its divisors is an integer number (3014375).

Almost surely, 286807448 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 86807448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144690000).

86807448 is an abundant number, since it is smaller than the sum of its proper divisors (202572552).

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

86807448 is a wasteful number, since it uses less digits than its factorization.

86807448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13281 (or 13274 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 86807448 is about 9317.0514649217. The cubic root of 86807448 is about 442.7776214384. Note that the first 3 decimals are identical.

The spelling of 86807448 in words is "eighty-six million, eight hundred seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 13249 26498 39747 52996 79494 92743 105992 119241 158988 172237 185486 238482 278229 317976 344474 370972 476964 516711 556458 688948 741944 834687 953928 1033422 1112916 1205659 1377896 1550133 1669374 2066844 2225832 2411318 3100266 3338748 3616977 4133688 4822636 6200532 6677496 7233954 9645272 10850931 12401064 14467908 21701862 28935816 43403724 86807448