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42177137 = 731135113
BaseRepresentation
bin1010000011100…
…1001001110001
32221100211011012
42200321021301
541244132022
64104000305
71021333262
oct240711161
987324135
1042177137
1121898342
1212160095
1389797b2
14585c969
153a81de2
hex2839271

42177137 has 8 divisors (see below), whose sum is σ = 43141704. Its totient is φ = 41223168.

The previous prime is 42177133. The next prime is 42177173. The reversal of 42177137 is 73177124.

It can be written as a sum of positive squares in 4 ways, for example, as 2436721 + 39740416 = 1561^2 + 6304^2 .

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 42177137 - 22 = 42177133 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42177133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5693 + ... + 10805.

It is an arithmetic number, because the mean of its divisors is an integer number (5392713).

Almost surely, 242177137 is an apocalyptic number.

It is an amenable number.

42177137 is a deficient number, since it is larger than the sum of its proper divisors (964567).

42177137 is a wasteful number, since it uses less digits than its factorization.

42177137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5299.

The product of its digits is 8232, while the sum is 32.

The square root of 42177137 is about 6494.3927352756. The cubic root of 42177137 is about 348.0906560178.

The spelling of 42177137 in words is "forty-two million, one hundred seventy-seven thousand, one hundred thirty-seven".

Divisors: 1 73 113 5113 8249 373249 577769 42177137