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42973049 = 722813121
BaseRepresentation
bin1010001111101…
…1011101111001
32222212020221102
42203323131321
542000114144
64133021145
71031156600
oct243733571
988766842
1042973049
1122291319
12124847b5
138b97b52
1459c8a37
153b8cb4e
hex28fb779

42973049 has 12 divisors (see below), whose sum is σ = 50183028. Its totient is φ = 36691200.

The previous prime is 42973033. The next prime is 42973057. The reversal of 42973049 is 94037924.

It can be written as a sum of positive squares in 2 ways, for example, as 9703225 + 33269824 = 3115^2 + 5768^2 .

It is not a de Polignac number, because 42973049 - 24 = 42973033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42973009) 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 11 ways as a sum of consecutive naturals, for example, 12209 + ... + 15329.

It is an arithmetic number, because the mean of its divisors is an integer number (4181919).

Almost surely, 242973049 is an apocalyptic number.

42973049 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

42973049 is a deficient number, since it is larger than the sum of its proper divisors (7209979).

42973049 is a wasteful number, since it uses less digits than its factorization.

42973049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 42973049 is about 6555.3832077156. The cubic root of 42973049 is about 350.2665968802.

The spelling of 42973049 in words is "forty-two million, nine hundred seventy-three thousand, forty-nine".

Divisors: 1 7 49 281 1967 3121 13769 21847 152929 877001 6139007 42973049