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42478971 = 3172633167
BaseRepresentation
bin1010001000001…
…0110101111011
32221221011012020
42202002311323
541333311341
64114245523
71024031253
oct242026573
987834166
1042478971
1121a84097
12122868a3
138a53cb2
1458da963
153ae1566
hex2882d7b

42478971 has 16 divisors (see below), whose sum is σ = 60217344. Its totient is φ = 26543744.

The previous prime is 42478967. The next prime is 42478981. The reversal of 42478971 is 17987424.

It is a happy number.

42478971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42478971 - 22 = 42478967 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42478921) 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, 11830 + ... + 14996.

It is an arithmetic number, because the mean of its divisors is an integer number (3763584).

Almost surely, 242478971 is an apocalyptic number.

42478971 is a deficient number, since it is larger than the sum of its proper divisors (17738373).

42478971 is a wasteful number, since it uses less digits than its factorization.

42478971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450.

The product of its digits is 112896, while the sum is 42.

The square root of 42478971 is about 6517.5893549686. The cubic root of 42478971 is about 348.9190349753.

The spelling of 42478971 in words is "forty-two million, four hundred seventy-eight thousand, nine hundred seventy-one".

Divisors: 1 3 17 51 263 789 3167 4471 9501 13413 53839 161517 832921 2498763 14159657 42478971