Search a number
-
+
442668280 = 23511066707
BaseRepresentation
bin11010011000101…
…001010011111000
31010211221212201111
4122120221103320
51401310341110
6111531530104
713653422035
oct3230512370
91124855644
10442668280
1120796925a
121042b9934
13709307c2
1442b1038c
1528ce0e8a
hex1a6294f8

442668280 has 16 divisors (see below), whose sum is σ = 996003720. Its totient is φ = 177067296.

The previous prime is 442668269. The next prime is 442668319. The reversal of 442668280 is 82866244.

It is a super-2 number, since 2×4426682802 = 391910412236316800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 11066707 = 442668280 / (4 + 4 + 2 + 6 + 6 + 8 + 2 + 8 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5533314 + ... + 5533393.

Almost surely, 2442668280 is an apocalyptic number.

442668280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442668280 is an abundant number, since it is smaller than the sum of its proper divisors (553335440).

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

442668280 is a wasteful number, since it uses less digits than its factorization.

442668280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11066718 (or 11066714 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 442668280 is about 21039.6834576949. The cubic root of 442668280 is about 762.1248707488.

The spelling of 442668280 in words is "four hundred forty-two million, six hundred sixty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 11066707 22133414 44266828 55333535 88533656 110667070 221334140 442668280