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55321300 = 225241103131
BaseRepresentation
bin1101001100001…
…0001011010100
310212002121120001
43103002023110
5103130240200
65253421044
71241136406
oct323021324
9125077501
1055321300
1129255791
121663a784
13b5cc4c8
1474c0b76
154ccb76a
hex34c22d4

55321300 has 72 divisors (see below), whose sum is σ = 125116992. Its totient is φ = 21216000.

The previous prime is 55321289. The next prime is 55321307. The reversal of 55321300 is 312355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55321307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 422235 + ... + 422365.

It is an arithmetic number, because the mean of its divisors is an integer number (1737736).

Almost surely, 255321300 is an apocalyptic number.

55321300 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 55321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62558496).

55321300 is an abundant number, since it is smaller than the sum of its proper divisors (69795692).

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

55321300 is a wasteful number, since it uses less digits than its factorization.

55321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 55321300 is about 7437.8289843206. The cubic root of 55321300 is about 381.0343472685.

Adding to 55321300 its reverse (312355), we get a palindrome (55633655).

The spelling of 55321300 in words is "fifty-five million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 103 131 164 205 206 262 410 412 515 524 655 820 1025 1030 1310 2050 2060 2575 2620 3275 4100 4223 5150 5371 6550 8446 10300 10742 13100 13493 16892 21115 21484 26855 26986 42230 53710 53972 67465 84460 105575 107420 134275 134930 211150 268550 269860 337325 422300 537100 553213 674650 1106426 1349300 2212852 2766065 5532130 11064260 13830325 27660650 55321300