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55281200 = 24521310631
BaseRepresentation
bin1101001011100…
…0011000110000
310212000120112212
43102320120300
5103122444300
65252511252
71240611452
oct322703060
9125016485
1055281200
1129228647
121661b528
13b5b7190
1474b02d2
154cbe935
hex34b8630

55281200 has 60 divisors (see below), whose sum is σ = 143042928. Its totient is φ = 20409600.

The previous prime is 55281169. The next prime is 55281223. The reversal of 55281200 is 218255.

It is a super-2 number, since 2×552812002 = 6112022146880000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116 + ... + 10515.

Almost surely, 255281200 is an apocalyptic number.

55281200 is a gapful number since it is divisible by the number (50) 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 55281200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71521464).

55281200 is an abundant number, since it is smaller than the sum of its proper divisors (87761728).

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

55281200 is a wasteful number, since it uses less digits than its factorization.

55281200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10662 (or 10651 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 55281200 is about 7435.1328165676. The cubic root of 55281200 is about 380.9422599494.

Adding to 55281200 its reverse (218255), we get a palindrome (55499455).

The spelling of 55281200 in words is "fifty-five million, two hundred eighty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 10631 21262 42524 53155 85048 106310 138203 170096 212620 265775 276406 425240 531550 552812 691015 850480 1063100 1105624 1382030 2126200 2211248 2764060 3455075 4252400 5528120 6910150 11056240 13820300 27640600 55281200