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55125 = 325372
BaseRepresentation
bin1101011101010101
32210121200
431131111
53231000
61103113
7316500
oct153525
983550
1055125
1138464
1227a99
131c125
1416137
1511500
hexd755

55125 has 36 divisors (see below), whose sum is σ = 115596. Its totient is φ = 25200.

The previous prime is 55117. The next prime is 55127. The reversal of 55125 is 52155.

It can be divided in two parts, 551 and 25, that added together give a square (576 = 242).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1764 + 53361 = 42^2 + 231^2 .

It is not a de Polignac number, because 55125 - 23 = 55117 is a prime.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 55098 and 55107.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55125.

It is not an unprimeable number, because it can be changed into a prime (55127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7872 + ... + 7878.

It is an arithmetic number, because the mean of its divisors is an integer number (3211).

255125 is an apocalyptic number.

It is an amenable number.

55125 is an abundant number, since it is smaller than the sum of its proper divisors (60471).

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 (57798).

55125 is a wasteful number, since it uses less digits than its factorization.

55125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 15 counting only the distinct ones).

The product of its digits is 250, while the sum is 18.

The square root of 55125 is about 234.7871376375. The cubic root of 55125 is about 38.0583130551.

The spelling of 55125 in words is "fifty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 125 147 175 225 245 315 375 441 525 735 875 1125 1225 1575 2205 2625 3675 6125 7875 11025 18375 55125