Search a number
-
+
442337292 = 223212287147
BaseRepresentation
bin11010010111011…
…000100000001100
31010211100001200200
4122113120200030
51401214243132
6111520453500
713650543045
oct3227304014
91124301620
10442337292
11207762611
1210417a290
1370845c57
1442a658cc
1528c77d7c
hex1a5d880c

442337292 has 18 divisors (see below), whose sum is σ = 1118130468. Its totient is φ = 147445752.

The previous prime is 442337281. The next prime is 442337293. The reversal of 442337292 is 292733244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12287147 = 442337292 / (4 + 4 + 2 + 3 + 3 + 7 + 2 + 9 + 2).

It is not an unprimeable number, because it can be changed into a prime (442337293) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6143538 + ... + 6143609.

Almost surely, 2442337292 is an apocalyptic number.

It is an amenable number.

442337292 is an abundant number, since it is smaller than the sum of its proper divisors (675793176).

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

442337292 is a wasteful number, since it uses less digits than its factorization.

442337292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12287157 (or 12287152 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 442337292 is about 21031.8161840579. The cubic root of 442337292 is about 761.9348736371.

The spelling of 442337292 in words is "four hundred forty-two million, three hundred thirty-seven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 12287147 24574294 36861441 49148588 73722882 110584323 147445764 221168646 442337292