Search a number
-
+
442506399 = 3413597613
BaseRepresentation
bin11010011000000…
…001110010011111
31010211122122122220
4122120001302133
51401240201044
6111524240423
713652146056
oct3230016237
91124578586
10442506399
11207868675
12104240113
13708a4c0a
1442aab39d
1528cad019
hex1a601c9f

442506399 has 8 divisors (see below), whose sum is σ = 604399152. Its totient is φ = 287808960.

The previous prime is 442506397. The next prime is 442506403. The reversal of 442506399 is 993605244.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 442506399 - 21 = 442506397 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 442506399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442506397) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1798684 + ... + 1798929.

It is an arithmetic number, because the mean of its divisors is an integer number (75549894).

Almost surely, 2442506399 is an apocalyptic number.

442506399 is a deficient number, since it is larger than the sum of its proper divisors (161892753).

442506399 is a wasteful number, since it uses less digits than its factorization.

442506399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597657.

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 442506399 is about 21035.8360661040. The cubic root of 442506399 is about 762.0319580014.

The spelling of 442506399 in words is "four hundred forty-two million, five hundred six thousand, three hundred ninety-nine".

Divisors: 1 3 41 123 3597613 10792839 147502133 442506399