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42759 = 324751
BaseRepresentation
bin1010011100000111
32011122200
422130013
52332014
6525543
7235443
oct123407
964580
1042759
112a142
12208b3
1316602
1411823
15ca09
hexa707

42759 has 6 divisors (see below), whose sum is σ = 61776. Its totient is φ = 28500.

The previous prime is 42751. The next prime is 42767. The reversal of 42759 is 95724.

42759 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42751) and next prime (42767).

It is not a de Polignac number, because 42759 - 23 = 42751 is a prime.

It is a d-powerful number, because it can be written as 44 + 215 + 72 + 55 + 94 .

42759 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42751) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2367 + ... + 2384.

It is an arithmetic number, because the mean of its divisors is an integer number (10296).

242759 is an apocalyptic number.

42759 is a deficient number, since it is larger than the sum of its proper divisors (19017).

42759 is a wasteful number, since it uses less digits than its factorization.

42759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4754 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 42759 is about 206.7824944235. The cubic root of 42759 is about 34.9684068648.

It can be divided in two parts, 42 and 759, that multiplied together give a triangular number (31878 = T252).

The spelling of 42759 in words is "forty-two thousand, seven hundred fifty-nine".

Divisors: 1 3 9 4751 14253 42759