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842282147 = 7416314651
BaseRepresentation
bin110010001101000…
…011010010100011
32011200220100220002
4302031003102203
53211111012042
6215325010215
726605165040
oct6215032243
92150810802
10842282147
113a24a0053
121b60b396b
13105668405
147dc141c7
154de2a132
hex323434a3

842282147 has 16 divisors (see below), whose sum is σ = 987861504. Its totient is φ = 703080000.

The previous prime is 842282113. The next prime is 842282197. The reversal of 842282147 is 741282248.

It is not a de Polignac number, because 842282147 - 210 = 842281123 is a prime.

It is a Smith number, since the sum of its digits (38) 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 842282147.

It is not an unprimeable number, because it can be changed into a prime (842282107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178772 + ... + 183422.

It is an arithmetic number, because the mean of its divisors is an integer number (61741344).

Almost surely, 2842282147 is an apocalyptic number.

842282147 is a deficient number, since it is larger than the sum of its proper divisors (145579357).

842282147 is a wasteful number, since it uses less digits than its factorization.

842282147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330.

The product of its digits is 57344, while the sum is 38.

The square root of 842282147 is about 29022.0975637530. The cubic root of 842282147 is about 944.3925052370.

The spelling of 842282147 in words is "eight hundred forty-two million, two hundred eighty-two thousand, one hundred forty-seven".

Divisors: 1 7 41 287 631 4417 4651 25871 32557 181097 190691 1334837 2934781 20543467 120326021 842282147