Search a number
-
+
442268140 = 225191115777
BaseRepresentation
bin11010010111000…
…111100111101100
31010211012112211111
4122113013213230
51401210040030
6111515201404
713650134326
oct3227074754
91124175744
10442268140
11207715666
12104146264
1370820632
1442a48616
1528c6262a
hex1a5c79ec

442268140 has 24 divisors (see below), whose sum is σ = 933633792. Its totient is φ = 175979520.

The previous prime is 442268137. The next prime is 442268161. The reversal of 442268140 is 41862244.

It is a super-2 number, since 2×4422681402 = 391202215318119200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54069 + ... + 61708.

It is an arithmetic number, because the mean of its divisors is an integer number (38901408).

Almost surely, 2442268140 is an apocalyptic number.

It is an amenable number.

442268140 is an abundant number, since it is smaller than the sum of its proper divisors (491365652).

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

442268140 is a wasteful number, since it uses less digits than its factorization.

442268140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115977 (or 115975 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 442268140 is about 21030.1721343407. The cubic root of 442268140 is about 761.8951663313.

The spelling of 442268140 in words is "four hundred forty-two million, two hundred sixty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 191 382 764 955 1910 3820 115777 231554 463108 578885 1157770 2315540 22113407 44226814 88453628 110567035 221134070 442268140