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55746 = 23219163
BaseRepresentation
bin1101100111000010
32211110200
431213002
53240441
61110030
7321345
oct154702
984420
1055746
1138979
1228316
131c4b2
141645c
15117b6
hexd9c2

55746 has 24 divisors (see below), whose sum is σ = 127920. Its totient is φ = 17496.

The previous prime is 55733. The next prime is 55763. The reversal of 55746 is 64755.

55746 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (5330).

255746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63960).

55746 is an abundant number, since it is smaller than the sum of its proper divisors (72174).

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

55746 is a wasteful number, since it uses less digits than its factorization.

55746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 187 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 55746 is about 236.1059084394. The cubic root of 55746 is about 38.2006925854.

Subtracting 55746 from its reverse (64755), we obtain a palindrome (9009).

The spelling of 55746 in words is "fifty-five thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 163 171 326 342 489 978 1467 2934 3097 6194 9291 18582 27873 55746