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54450 = 23252112
BaseRepresentation
bin1101010010110010
32202200200
431102302
53220300
61100030
7314514
oct152262
982620
1054450
1137a00
1227616
131ba26
1415bb4
1511200
hexd4b2

54450 has 54 divisors (see below), whose sum is σ = 160797. Its totient is φ = 13200.

The previous prime is 54449. The next prime is 54469. The reversal of 54450 is 5445.

It is a happy number.

54450 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 can be written as a sum of positive squares in 2 ways, for example, as 53361 + 1089 = 231^2 + 33^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=165.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4945 + ... + 4955.

254450 is an apocalyptic number.

54450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54450

54450 is an abundant number, since it is smaller than the sum of its proper divisors (106347).

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

54450 is a wasteful number, since it uses less digits than its factorization.

54450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 54450 is about 233.3452377916. The cubic root of 54450 is about 37.9023346120.

Multiplying 54450 by its sum of digits (18), we get a square (980100 = 9902).

54450 divided by its sum of digits (18) gives a square (3025 = 552).

Adding to 54450 its reverse (5445), we get a palindrome (59895).

The spelling of 54450 in words is "fifty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 121 150 165 198 225 242 275 330 363 450 495 550 605 726 825 990 1089 1210 1650 1815 2178 2475 3025 3630 4950 5445 6050 9075 10890 18150 27225 54450