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57942 = 2332937
BaseRepresentation
bin1110001001010110
32221111000
432021112
53323232
61124130
7330633
oct161126
987430
1057942
113a595
1229646
13204b1
141718a
151227c
hexe256

57942 has 32 divisors (see below), whose sum is σ = 136800. Its totient is φ = 18144.

The previous prime is 57923. The next prime is 57943. The reversal of 57942 is 24975.

57942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 15.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57943) by changing a digit.

57942 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548 + ... + 1584.

It is an arithmetic number, because the mean of its divisors is an integer number (4275).

257942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68400).

57942 is an abundant number, since it is smaller than the sum of its proper divisors (78858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57942 is a wasteful number, since it uses less digits than its factorization.

57942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 71 counting only the distinct ones).

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

The square root of 57942 is about 240.7114455110. The cubic root of 57942 is about 38.6958591808.

It can be divided in two parts, 57 and 942, that added together give a palindrome (999).

The spelling of 57942 in words is "fifty-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 37 54 58 74 87 111 174 222 261 333 522 666 783 999 1073 1566 1998 2146 3219 6438 9657 19314 28971 57942