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54945 = 3351137
BaseRepresentation
bin1101011010100001
32210101000
431122201
53224240
61102213
7316122
oct153241
983330
1054945
1138310
1227969
131c017
1416049
1511430
hexd6a1

54945 has 32 divisors (see below), whose sum is σ = 109440. Its totient is φ = 25920.

The previous prime is 54941. The next prime is 54949.

54945 is nontrivially palindromic in base 10.

54945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54941) and next prime (54949).

It is not a de Polignac number, because 54945 - 22 = 54941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (54941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1467 + ... + 1503.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

254945 is an apocalyptic number.

54945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54945 is a deficient number, since it is larger than the sum of its proper divisors (54495).

54945 is a wasteful number, since it uses less digits than its factorization.

54945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 56 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 54945 is about 234.4034982674. The cubic root of 54945 is about 38.0168438716.

It can be divided in two parts, 54 and 945, that added together give a palindrome (999).

The spelling of 54945 in words is "fifty-four thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 37 45 55 99 111 135 165 185 297 333 407 495 555 999 1221 1485 1665 2035 3663 4995 6105 10989 18315 54945