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53742 = 2313253
BaseRepresentation
bin1101000111101110
32201201110
431013232
53204432
61052450
7312453
oct150756
981643
1053742
1137417
1227126
131b600
141582a
1510dcc
hexd1ee

53742 has 24 divisors (see below), whose sum is σ = 118584. Its totient is φ = 16224.

The previous prime is 53731. The next prime is 53759. The reversal of 53742 is 24735.

It is a happy number.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

53742 is a Rhonda number in base 10.

Its product of digits (840) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53742.

It is an unprimeable number.

53742 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 11 ways as a sum of consecutive naturals, for example, 988 + ... + 1040.

It is an arithmetic number, because the mean of its divisors is an integer number (4941).

253742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59292).

53742 is an abundant number, since it is smaller than the sum of its proper divisors (64842).

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

53742 is a wasteful number, since it uses less digits than its factorization.

53742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

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

The square root of 53742 is about 231.8232085017. The cubic root of 53742 is about 37.7373391456.

The spelling of 53742 in words is "fifty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 169 318 338 507 689 1014 1378 2067 4134 8957 17914 26871 53742