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42878301 = 3173137733
BaseRepresentation
bin1010001110010…
…0010101011101
32222200102222020
42203210111131
541434101201
64131010353
71030313424
oct243442535
988612866
1042878301
1122227114
12124399b9
138b6399b
1459a22bb
153b6ea36
hex28e455d

42878301 has 32 divisors (see below), whose sum is σ = 64263168. Its totient is φ = 25297920.

The previous prime is 42878299. The next prime is 42878317. The reversal of 42878301 is 10387824.

42878301 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 42878301 - 21 = 42878299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42878321) 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 31 ways as a sum of consecutive naturals, for example, 58131 + ... + 58863.

It is an arithmetic number, because the mean of its divisors is an integer number (2008224).

Almost surely, 242878301 is an apocalyptic number.

It is an amenable number.

42878301 is a deficient number, since it is larger than the sum of its proper divisors (21384867).

42878301 is a wasteful number, since it uses less digits than its factorization.

42878301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 42878301 is about 6548.1524875342. The cubic root of 42878301 is about 350.0089820824.

The spelling of 42878301 in words is "forty-two million, eight hundred seventy-eight thousand, three hundred one".

Divisors: 1 3 17 31 37 51 93 111 527 629 733 1147 1581 1887 2199 3441 12461 19499 22723 27121 37383 58497 68169 81363 386291 461057 840751 1158873 1383171 2522253 14292767 42878301