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42999 = 3111303
BaseRepresentation
bin1010011111110111
32011222120
422133313
52333444
6531023
7236235
oct123767
964876
1042999
112a340
1220a73
1316758
1411955
15cb19
hexa7f7

42999 has 8 divisors (see below), whose sum is σ = 62592. Its totient is φ = 26040.

The previous prime is 42989. The next prime is 43003. The reversal of 42999 is 99924.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42999 - 25 = 42967 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 1303 = 42999 / (4 + 2 + 9 + 9 + 9).

42999 is a modest number, since divided by 999 gives 42 as remainder.

It is a plaindrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619 + ... + 684.

It is an arithmetic number, because the mean of its divisors is an integer number (7824).

242999 is an apocalyptic number.

42999 is a deficient number, since it is larger than the sum of its proper divisors (19593).

42999 is a wasteful number, since it uses less digits than its factorization.

42999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317.

The product of its digits is 5832, while the sum is 33.

The square root of 42999 is about 207.3620023051. The cubic root of 42999 is about 35.0337090205.

It can be divided in two parts, 429 and 99, that added together give a triangular number (528 = T32).

The spelling of 42999 in words is "forty-two thousand, nine hundred ninety-nine".

Divisors: 1 3 11 33 1303 3909 14333 42999