Search a number
-
+
442116456 = 23318421519
BaseRepresentation
bin11010010110100…
…010100101101000
31010210220211202120
4122112202211220
51401140211311
6111512031240
713645633155
oct3226424550
91123824676
10442116456
11207621701
12104092520
1370799592
1442a0922c
1528c32706
hex1a5a2968

442116456 has 16 divisors (see below), whose sum is σ = 1105291200. Its totient is φ = 147372144.

The previous prime is 442116443. The next prime is 442116457. The reversal of 442116456 is 654611244.

It is not an unprimeable number, because it can be changed into a prime (442116457) 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, 9210736 + ... + 9210783.

It is an arithmetic number, because the mean of its divisors is an integer number (69080700).

Almost surely, 2442116456 is an apocalyptic number.

It is an amenable number.

442116456 is an abundant number, since it is smaller than the sum of its proper divisors (663174744).

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

442116456 is a wasteful number, since it uses less digits than its factorization.

442116456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18421528 (or 18421524 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 442116456 is about 21026.5654827411. The cubic root of 442116456 is about 761.8080543808.

The spelling of 442116456 in words is "four hundred forty-two million, one hundred sixteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 18421519 36843038 55264557 73686076 110529114 147372152 221058228 442116456