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442524433 = 13172002373
BaseRepresentation
bin11010011000000…
…110001100010001
31010211200120101211
4122120012030101
51401241240213
6111524500121
713652252461
oct3230061421
91124616354
10442524433
1120788017a
1210424a641
13708b01a0
1442ab3ba1
1528cb353d
hex1a606311

442524433 has 8 divisors (see below), whose sum is σ = 504598248. Its totient is φ = 384455424.

The previous prime is 442524371. The next prime is 442524437. The reversal of 442524433 is 334425244.

It can be written as a sum of positive squares in 4 ways, for example, as 17875984 + 424648449 = 4228^2 + 20607^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 442524433 - 213 = 442516241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 442524395 and 442524404.

It is not an unprimeable number, because it can be changed into a prime (442524437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1000966 + ... + 1001407.

It is an arithmetic number, because the mean of its divisors is an integer number (63074781).

Almost surely, 2442524433 is an apocalyptic number.

It is an amenable number.

442524433 is a deficient number, since it is larger than the sum of its proper divisors (62073815).

442524433 is a wasteful number, since it uses less digits than its factorization.

442524433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002403.

The product of its digits is 46080, while the sum is 31.

The square root of 442524433 is about 21036.2647112076. The cubic root of 442524433 is about 762.0423098650.

Adding to 442524433 its reverse (334425244), we get a palindrome (776949677).

The spelling of 442524433 in words is "four hundred forty-two million, five hundred twenty-four thousand, four hundred thirty-three".

Divisors: 1 13 17 221 2002373 26030849 34040341 442524433