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42138301 = 377315601
BaseRepresentation
bin1010000010111…
…1101010111101
32221021211212211
42200233222331
541241411201
64103100421
71021112122
oct240575275
987254784
1042138301
1121871147
1212141711
138964c0a
14584c749
153a75651
hex282fabd

42138301 has 8 divisors (see below), whose sum is σ = 43872824. Its totient is φ = 40435200.

The previous prime is 42138289. The next prime is 42138307. The reversal of 42138301 is 10383124.

It can be written as a sum of positive squares in 4 ways, for example, as 26936100 + 15202201 = 5190^2 + 3899^2 .

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 42138301 - 29 = 42137789 is a prime.

It is a super-2 number, since 2×421383012 = 3551272822333202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42138307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5100 + ... + 10501.

It is an arithmetic number, because the mean of its divisors is an integer number (5484103).

Almost surely, 242138301 is an apocalyptic number.

It is an amenable number.

42138301 is a deficient number, since it is larger than the sum of its proper divisors (1734523).

42138301 is a wasteful number, since it uses less digits than its factorization.

42138301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15711.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 42138301 is about 6491.4020827553. The cubic root of 42138301 is about 347.9837845309.

The spelling of 42138301 in words is "forty-two million, one hundred thirty-eight thousand, three hundred one".

Divisors: 1 37 73 2701 15601 577237 1138873 42138301