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42779295 = 3251373127
BaseRepresentation
bin1010001100110…
…0001010011111
32222111102011100
42203030022133
541422414140
64124524143
71026421656
oct243141237
988442140
1042779295
1122169799
12123b0653
138b2a8c0
14597819d
153b50530
hex28cc29f

42779295 has 24 divisors (see below), whose sum is σ = 79855776. Its totient is φ = 21060288.

The previous prime is 42779291. The next prime is 42779309. The reversal of 42779295 is 59297724.

42779295 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 42779295 - 22 = 42779291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42779295.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42779291) 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 23 ways as a sum of consecutive naturals, for example, 35979 + ... + 37148.

It is an arithmetic number, because the mean of its divisors is an integer number (3327324).

Almost surely, 242779295 is an apocalyptic number.

42779295 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42779295 is a deficient number, since it is larger than the sum of its proper divisors (37076481).

42779295 is a wasteful number, since it uses less digits than its factorization.

42779295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73151 (or 73148 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 42779295 is about 6540.5882762944. The cubic root of 42779295 is about 349.7393842206.

The spelling of 42779295 in words is "forty-two million, seven hundred seventy-nine thousand, two hundred ninety-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 73127 219381 365635 658143 950651 1096905 2851953 3290715 4753255 8555859 14259765 42779295