Search a number
-
+
80867664 = 24321493769
BaseRepresentation
bin1001101000111…
…11000101010000
312122011111120200
410310133011100
5131200231124
612005135200
72001235533
oct464370520
9178144520
1080867664
1141714089
12230ba500
13139a52b7
14aa50a1a
157175bc9
hex4d1f150

80867664 has 60 divisors (see below), whose sum is σ = 227896500. Its totient is φ = 26767872.

The previous prime is 80867663. The next prime is 80867687. The reversal of 80867664 is 46676808.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37307664 + 43560000 = 6108^2 + 6600^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80867663) 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, 19572 + ... + 23340.

It is an arithmetic number, because the mean of its divisors is an integer number (3798275).

Almost surely, 280867664 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 80867664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113948250).

80867664 is an abundant number, since it is smaller than the sum of its proper divisors (147028836).

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

80867664 is a wasteful number, since it uses less digits than its factorization.

80867664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 80867664 is about 8992.6449946609. The cubic root of 80867664 is about 432.4391111226.

The spelling of 80867664 in words is "eighty million, eight hundred sixty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1192 1341 1788 2384 2682 3576 3769 5364 7152 7538 10728 11307 15076 21456 22614 30152 33921 45228 60304 67842 90456 135684 180912 271368 542736 561581 1123162 1684743 2246324 3369486 4492648 5054229 6738972 8985296 10108458 13477944 20216916 26955888 40433832 80867664