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88542 = 2324919
BaseRepresentation
bin10101100111011110
311111110100
4111213132
510313132
61521530
7516066
oct254736
9144410
1088542
1160583
12432a6
13313bc
14243a6
151b37c
hex159de

88542 has 12 divisors (see below), whose sum is σ = 191880. Its totient is φ = 29508.

The previous prime is 88523. The next prime is 88547. The reversal of 88542 is 24588.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88547) by changing a digit.

88542 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2442 + ... + 2477.

It is an arithmetic number, because the mean of its divisors is an integer number (15990).

288542 is an apocalyptic number.

88542 is an abundant number, since it is smaller than the sum of its proper divisors (103338).

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

88542 is a wasteful number, since it uses less digits than its factorization.

88542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4924 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 88542 is about 297.5600779675. The cubic root of 88542 is about 44.5707329421.

It can be divided in two parts, 88 and 542, that added together give a triangular number (630 = T35).

The spelling of 88542 in words is "eighty-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 4919 9838 14757 29514 44271 88542