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442158041 = 13291172833
BaseRepresentation
bin11010010110101…
…100101111011001
31010210222221210202
4122112230233121
51401143024131
6111512551545
713646165333
oct3226545731
91123887722
10442158041
1120764a976
121040b25b5
13707b24a0
1442a1a453
1528c3ebcb
hex1a5acbd9

442158041 has 8 divisors (see below), whose sum is σ = 492590280. Its totient is φ = 394071552.

The previous prime is 442158019. The next prime is 442158043. The reversal of 442158041 is 140851244.

It can be written as a sum of positive squares in 4 ways, for example, as 51265600 + 390892441 = 7160^2 + 19771^2 .

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 442158041 - 214 = 442141657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 442157995 and 442158013.

It is not an unprimeable number, because it can be changed into a prime (442158043) 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 7 ways as a sum of consecutive naturals, for example, 586040 + ... + 586793.

It is an arithmetic number, because the mean of its divisors is an integer number (61573785).

Almost surely, 2442158041 is an apocalyptic number.

It is an amenable number.

442158041 is a deficient number, since it is larger than the sum of its proper divisors (50432239).

442158041 is a wasteful number, since it uses less digits than its factorization.

442158041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172875.

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 442158041 is about 21027.5543275960. The cubic root of 442158041 is about 761.8319385817.

The spelling of 442158041 in words is "four hundred forty-two million, one hundred fifty-eight thousand, forty-one".

Divisors: 1 13 29 377 1172833 15246829 34012157 442158041