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47742 = 2373109
BaseRepresentation
bin1011101001111110
32102111020
423221332
53011432
61005010
7256122
oct135176
972436
1047742
1132962
1223766
1318966
1413582
15e22c
hexba7e

47742 has 16 divisors (see below), whose sum is σ = 97680. Its totient is φ = 15552.

The previous prime is 47741. The next prime is 47743. The reversal of 47742 is 24774.

It is an interprime number because it is at equal distance from previous prime (47741) and next prime (47743).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47741) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 384 + ... + 492.

It is an arithmetic number, because the mean of its divisors is an integer number (6105).

247742 is an apocalyptic number.

It is a pronic number, being equal to 218×219.

47742 is an abundant number, since it is smaller than the sum of its proper divisors (49938).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48840).

47742 is a wasteful number, since it uses less digits than its factorization.

47742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187.

The product of its digits is 1568, while the sum is 24.

The square root of 47742 is about 218.4994279169. The cubic root of 47742 is about 36.2771813574.

The spelling of 47742 in words is "forty-seven thousand, seven hundred forty-two", and thus it is an iban number.