Search a number
-
+
80904096 = 25347413
BaseRepresentation
bin1001101001001…
…11111110100000
312122020100120000
410310213332200
5131202412341
612010020000
72001450000
oct464477640
9178210500
1080904096
1141739499
1223117600
13139b8a60
14aa60000
1571818b6
hex4d27fa0

80904096 has 300 divisors, whose sum is σ = 298928322. Its totient is φ = 21337344.

The previous prime is 80904067. The next prime is 80904121. The reversal of 80904096 is 69040908.

It can be written as a sum of positive squares in only one way, i.e., 77792400 + 3111696 = 8820^2 + 1764^2 .

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 80904096.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6223386 + ... + 6223398.

Almost surely, 280904096 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 80904096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149464161).

80904096 is an abundant number, since it is smaller than the sum of its proper divisors (218024226).

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

80904096 is an equidigital number, since it uses as much as digits as its factorization.

80904096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 80904096 is about 8994.6704219777. The cubic root of 80904096 is about 432.5040413045.

The spelling of 80904096 in words is "eighty million, nine hundred four thousand, ninety-six".