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5742 = 2321129
BaseRepresentation
bin1011001101110
321212200
41121232
5140432
642330
722512
oct13156
97780
105742
114350
1233a6
1327c9
142142
151a7c
hex166e

5742 has 24 divisors (see below), whose sum is σ = 14040. Its totient is φ = 1680.

The previous prime is 5741. The next prime is 5743. The reversal of 5742 is 2475.

It can be divided in two parts, 574 and 2, that added together give a square (576 = 242).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5741) and next prime (5743).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184 + ... + 212.

It is an arithmetic number, because the mean of its divisors is an integer number (585).

25742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020).

5742 is an abundant number, since it is smaller than the sum of its proper divisors (8298).

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

5742 is a wasteful number, since it uses less digits than its factorization.

5742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 45 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 5742 is about 75.7759856419. The cubic root of 5742 is about 17.9069269821.

The spelling of 5742 in words is "five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742