Search a number
-
+
80808840 = 2334572509
BaseRepresentation
bin1001101000100…
…00101110001000
312122001111220000
410310100232020
5131141340330
612004003000
72000602200
oct464205610
9178044800
1080808840
1141683972
1223090460
13139845a8
14aa37400
157163560
hex4d10b88

80808840 has 240 divisors, whose sum is σ = 316572300. Its totient is φ = 18434304.

The previous prime is 80808829. The next prime is 80808841. The reversal of 80808840 is 4880808.

It can be written as a sum of positive squares in 2 ways, for example, as 80030916 + 777924 = 8946^2 + 882^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80808795 and 80808804.

It is not an unprimeable number, because it can be changed into a prime (80808841) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 158506 + ... + 159014.

Almost surely, 280808840 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 80808840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158286150).

80808840 is an abundant number, since it is smaller than the sum of its proper divisors (235763460).

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

80808840 is a wasteful number, since it uses less digits than its factorization.

80808840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 80808840 is about 8989.3737267954. The cubic root of 80808840 is about 432.3342320836.

The spelling of 80808840 in words is "eighty million, eight hundred eight thousand, eight hundred forty".