Search a number
-
+
80643288 = 233112511217
BaseRepresentation
bin1001100111010…
…00010011011000
312121202002210110
410303220103120
5131121041123
612000244320
71666312425
oct463502330
9177662713
1080643288
1141580550
12230106a0
131392712b
14a9d2d4c
15712e493
hex4ce84d8

80643288 has 64 divisors (see below), whose sum is σ = 220993920. Its totient is φ = 24320000.

The previous prime is 80643271. The next prime is 80643289. The reversal of 80643288 is 88234608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80643289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65656 + ... + 66872.

It is an arithmetic number, because the mean of its divisors is an integer number (3453030).

Almost surely, 280643288 is an apocalyptic number.

80643288 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80643288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110496960).

80643288 is an abundant number, since it is smaller than the sum of its proper divisors (140350632).

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

80643288 is a wasteful number, since it uses less digits than its factorization.

80643288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 80643288 is about 8980.1608003421. The cubic root of 80643288 is about 432.0387910983.

The spelling of 80643288 in words is "eighty million, six hundred forty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 251 264 502 753 1004 1217 1506 2008 2434 2761 3012 3651 4868 5522 6024 7302 8283 9736 11044 13387 14604 16566 22088 26774 29208 33132 40161 53548 66264 80322 107096 160644 305467 321288 610934 916401 1221868 1832802 2443736 3360137 3665604 6720274 7331208 10080411 13440548 20160822 26881096 40321644 80643288