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42820501 = 172986857
BaseRepresentation
bin1010001101011…
…0001110010101
32222120111200111
42203112032111
541430224001
64125443021
71026653053
oct243261625
988514614
1042820501
1122197749
1212410471
138b43599
1459891d3
153b5c851
hex28d6395

42820501 has 8 divisors (see below), whose sum is σ = 46903320. Its totient is φ = 38911488.

The previous prime is 42820493. The next prime is 42820513. The reversal of 42820501 is 10502824.

42820501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9296401 + 33524100 = 3049^2 + 5790^2 .

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 42820501 - 23 = 42820493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42820301) 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 7 ways as a sum of consecutive naturals, for example, 42936 + ... + 43921.

It is an arithmetic number, because the mean of its divisors is an integer number (5862915).

Almost surely, 242820501 is an apocalyptic number.

It is an amenable number.

42820501 is a deficient number, since it is larger than the sum of its proper divisors (4082819).

42820501 is a wasteful number, since it uses less digits than its factorization.

42820501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86903.

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 42820501 is about 6543.7375405803. The cubic root of 42820501 is about 349.8516405230.

The spelling of 42820501 in words is "forty-two million, eight hundred twenty thousand, five hundred one".

Divisors: 1 17 29 493 86857 1476569 2518853 42820501