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54052200 = 23325230029
BaseRepresentation
bin1100111000110…
…0010101101000
310202201010200100
43032030111220
5102314132300
65210305400
71224302406
oct316142550
9122633610
1054052200
1128569244
1216128260
13b276967
147270476
154b2a700
hex338c568

54052200 has 72 divisors (see below), whose sum is σ = 181531350. Its totient is φ = 14413440.

The previous prime is 54052157. The next prime is 54052217. The reversal of 54052200 is 225045.

It can be written as a sum of positive squares in 3 ways, for example, as 51926436 + 2125764 = 7206^2 + 1458^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 13215 + ... + 16814.

Almost surely, 254052200 is an apocalyptic number.

54052200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54052200 is an abundant number, since it is smaller than the sum of its proper divisors (127479150).

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

54052200 is a wasteful number, since it uses less digits than its factorization.

54052200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30051 (or 30039 counting only the distinct ones).

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

The square root of 54052200 is about 7352.0201305492. The cubic root of 54052200 is about 378.0980681135.

Adding to 54052200 its reverse (225045), we get a palindrome (54277245).

The spelling of 54052200 in words is "fifty-four million, fifty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 30029 60058 90087 120116 150145 180174 240232 270261 300290 360348 450435 540522 600580 720696 750725 900870 1081044 1201160 1351305 1501450 1801740 2162088 2252175 2702610 3002900 3603480 4504350 5405220 6005800 6756525 9008700 10810440 13513050 18017400 27026100 54052200