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442012405 = 5611738377
BaseRepresentation
bin11010010110001…
…001001011110101
31010210201120000211
4122112021023311
51401123344110
6111505505421
713645020622
oct3226111365
91123646024
10442012405
1120756050a
12104042271
1370761103
14429bd349
1528c1198a
hex1a5892f5

442012405 has 16 divisors (see below), whose sum is σ = 542291184. Its totient is φ = 345761280.

The previous prime is 442012387. The next prime is 442012411. The reversal of 442012405 is 504210244.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 46758244 + 395254161 = 6838^2 + 19881^2 .

It is not a de Polignac number, because 442012405 - 223 = 433623797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48577 + ... + 56953.

It is an arithmetic number, because the mean of its divisors is an integer number (33893199).

Almost surely, 2442012405 is an apocalyptic number.

It is an amenable number.

442012405 is a deficient number, since it is larger than the sum of its proper divisors (100278779).

442012405 is a wasteful number, since it uses less digits than its factorization.

442012405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8616.

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 442012405 is about 21024.0910623979. The cubic root of 442012405 is about 761.7482864863.

Adding to 442012405 its reverse (504210244), we get a palindrome (946222649).

The spelling of 442012405 in words is "four hundred forty-two million, twelve thousand, four hundred five".

Divisors: 1 5 61 173 305 865 8377 10553 41885 52765 510997 1449221 2554985 7246105 88402481 442012405