Search a number
-
+
80346496 = 271514157
BaseRepresentation
bin1001100100111…
…11110110000000
312121012000200011
410302133312000
5131032041441
611550034304
71663635226
oct462376600
9177160604
1080346496
114139856a
1222aa8994
1313852009
14a956b16
1570c1581
hex4c9fd80

80346496 has 32 divisors (see below), whose sum is σ = 161164080. Its totient is φ = 39897600.

The previous prime is 80346491. The next prime is 80346509. The reversal of 80346496 is 69464308.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80346491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17250 + ... + 21406.

Almost surely, 280346496 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 80346496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80582040).

80346496 is an abundant number, since it is smaller than the sum of its proper divisors (80817584).

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

80346496 is a wasteful number, since it uses less digits than its factorization.

80346496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 80346496 is about 8963.6206970175. The cubic root of 80346496 is about 431.5081278705.

The spelling of 80346496 in words is "eighty million, three hundred forty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 151 302 604 1208 2416 4157 4832 8314 9664 16628 19328 33256 66512 133024 266048 532096 627707 1255414 2510828 5021656 10043312 20086624 40173248 80346496