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42357 = 372017
BaseRepresentation
bin1010010101110101
32011002210
422111311
52323412
6524033
7234330
oct122565
964083
1042357
1129907
1220619
1316383
1411617
15c83c
hexa575

42357 has 8 divisors (see below), whose sum is σ = 64576. Its totient is φ = 24192.

The previous prime is 42349. The next prime is 42359. The reversal of 42357 is 75324.

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 42357 - 23 = 42349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 2017 = 42357 / (4 + 2 + 3 + 5 + 7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42359) 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, 988 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (8072).

242357 is an apocalyptic number.

It is an amenable number.

42357 is a deficient number, since it is larger than the sum of its proper divisors (22219).

42357 is a wasteful number, since it uses less digits than its factorization.

42357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027.

The product of its digits is 840, while the sum is 21.

The square root of 42357 is about 205.8081631034. The cubic root of 42357 is about 34.8584761331.

The spelling of 42357 in words is "forty-two thousand, three hundred fifty-seven".

Divisors: 1 3 7 21 2017 6051 14119 42357