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56742 = 2372193
BaseRepresentation
bin1101110110100110
32212211120
431312212
53303432
61114410
7324300
oct156646
985746
1056742
11396a4
1228a06
131ca9a
1416970
1511c2c
hexdda6

56742 has 24 divisors (see below), whose sum is σ = 132696. Its totient is φ = 16128.

The previous prime is 56737. The next prime is 56747. The reversal of 56742 is 24765.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56737) and next prime (56747).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56747) 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, 198 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (5529).

256742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66348).

56742 is an abundant number, since it is smaller than the sum of its proper divisors (75954).

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

56742 is a wasteful number, since it uses less digits than its factorization.

56742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 205 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 56742 is about 238.2057933804. The cubic root of 56742 is about 38.4268583800.

The spelling of 56742 in words is "fifty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 193 294 386 579 1158 1351 2702 4053 8106 9457 18914 28371 56742