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54924 = 22323199
BaseRepresentation
bin1101011010001100
32210100020
431122030
53224144
61102140
7316062
oct153214
983306
1054924
11382a1
1227950
131bccc
1416032
1511419
hexd68c

54924 has 24 divisors (see below), whose sum is σ = 134400. Its totient is φ = 17424.

The previous prime is 54919. The next prime is 54941. The reversal of 54924 is 42945.

54924 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 plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 54894 and 54903.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (5600).

254924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67200).

54924 is an abundant number, since it is smaller than the sum of its proper divisors (79476).

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

54924 is a wasteful number, since it uses less digits than its factorization.

54924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 227 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 54924 is about 234.3586994332. The cubic root of 54924 is about 38.0119999036.

The spelling of 54924 in words is "fifty-four thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 199 276 398 597 796 1194 2388 4577 9154 13731 18308 27462 54924