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42507101 = 7132511861
BaseRepresentation
bin1010001000100…
…1101101011101
32221222120210002
42202021231131
541340211401
64115024045
71024206260
oct242115535
987876702
1042507101
1121aa323a
121229b025
138a63a40
145906cd7
153ae9a6b
hex2889b5d

42507101 has 16 divisors (see below), whose sum is σ = 52553088. Its totient is φ = 33480000.

The previous prime is 42507083. The next prime is 42507109. The reversal of 42507101 is 10170524.

42507101 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 42507101 - 210 = 42506077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42507109) 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, 21911 + ... + 23771.

It is an arithmetic number, because the mean of its divisors is an integer number (3284568).

Almost surely, 242507101 is an apocalyptic number.

It is an amenable number.

42507101 is a deficient number, since it is larger than the sum of its proper divisors (10045987).

42507101 is a wasteful number, since it uses less digits than its factorization.

42507101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132.

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 42507101 is about 6519.7470042940. The cubic root of 42507101 is about 348.9960372070.

Adding to 42507101 its reverse (10170524), we get a palindrome (52677625).

The spelling of 42507101 in words is "forty-two million, five hundred seven thousand, one hundred one".

Divisors: 1 7 13 91 251 1757 1861 3263 13027 22841 24193 169351 467111 3269777 6072443 42507101