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42610379 = 7103113523
BaseRepresentation
bin1010001010001…
…0111011001011
32222011211110012
42202202323023
541402013004
64121142135
71025116340
oct242427313
988154405
1042610379
1122063899
121232a94b
138a9ba56
1459327c7
153b1a46e
hex28a2ecb

42610379 has 16 divisors (see below), whose sum is σ = 49700352. Its totient is φ = 35779968.

The previous prime is 42610363. The next prime is 42610387. The reversal of 42610379 is 97301624.

42610379 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42610379 - 24 = 42610363 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42610339) 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, 81212 + ... + 81734.

It is an arithmetic number, because the mean of its divisors is an integer number (3106272).

Almost surely, 242610379 is an apocalyptic number.

42610379 is a deficient number, since it is larger than the sum of its proper divisors (7089973).

42610379 is a wasteful number, since it uses less digits than its factorization.

42610379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 42610379 is about 6527.6625985110. The cubic root of 42610379 is about 349.2784563788.

The spelling of 42610379 in words is "forty-two million, six hundred ten thousand, three hundred seventy-nine".

Divisors: 1 7 103 113 523 721 791 3661 11639 53869 59099 81473 377083 413693 6087197 42610379