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54912 = 2731113
BaseRepresentation
bin1101011010000000
32210022210
431122000
53224122
61102120
7316044
oct153200
983283
1054912
1138290
1227940
131bcc0
1416024
151140c
hexd680

54912 has 64 divisors (see below), whose sum is σ = 171360. Its totient is φ = 15360.

The previous prime is 54907. The next prime is 54917. The reversal of 54912 is 21945.

It can be divided in two parts, 549 and 12, that added together give a triangular number (561 = T33).

It is an interprime number because it is at equal distance from previous prime (54907) and next prime (54917).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (54917) by changing a digit.

54912 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 7 ways as a sum of consecutive naturals, for example, 4218 + ... + 4230.

254912 is an apocalyptic number.

54912 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680).

54912 is an abundant number, since it is smaller than the sum of its proper divisors (116448).

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

54912 is a wasteful number, since it uses less digits than its factorization.

54912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 29 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 54912 is about 234.3330962540. Note that the first 3 decimals coincide. The cubic root of 54912 is about 38.0092313676.

The spelling of 54912 in words is "fifty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4224 4576 4992 6864 9152 13728 18304 27456 54912