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442291047 = 31121136343
BaseRepresentation
bin11010010111001…
…101001101100111
31010211020201020220
4122113031031213
51401211303142
6111515455423
713650261162
oct3227151547
91124221226
10442291047
112077308a0
12104157573
137082aba3
1442a52ad9
1528c692ec
hex1a5cd367

442291047 has 16 divisors (see below), whose sum is σ = 643738368. Its totient is φ = 267886080.

The previous prime is 442291033. The next prime is 442291049. The reversal of 442291047 is 740192244.

It is not a de Polignac number, because 442291047 - 214 = 442274663 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 442290999 and 442291017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442291049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 66558 + ... + 72900.

It is an arithmetic number, because the mean of its divisors is an integer number (40233648).

Almost surely, 2442291047 is an apocalyptic number.

442291047 is a deficient number, since it is larger than the sum of its proper divisors (201447321).

442291047 is a wasteful number, since it uses less digits than its factorization.

442291047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8470.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 442291047 is about 21030.7167495547. The cubic root of 442291047 is about 761.9083200644.

The spelling of 442291047 in words is "four hundred forty-two million, two hundred ninety-one thousand, forty-seven".

Divisors: 1 3 11 33 2113 6339 6343 19029 23243 69729 69773 209319 13402759 40208277 147430349 442291047