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55054600 = 23521511823
BaseRepresentation
bin1101001000000…
…1000100001000
310211121001201021
43102001010020
5103043221400
65244002224
71235646016
oct322010410
9124531637
1055054600
1129093377
1216530374
13b537cb3
1474518b6
154c7771a
hex3481108

55054600 has 48 divisors (see below), whose sum is σ = 128920320. Its totient is φ = 21864000.

The previous prime is 55054583. The next prime is 55054613. The reversal of 55054600 is 645055.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29289 + ... + 31111.

It is an arithmetic number, because the mean of its divisors is an integer number (2685840).

Almost surely, 255054600 is an apocalyptic number.

55054600 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 55054600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64460160).

55054600 is an abundant number, since it is smaller than the sum of its proper divisors (73865720).

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

55054600 is a wasteful number, since it uses less digits than its factorization.

55054600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 55054600 is about 7419.8787052081. The cubic root of 55054600 is about 380.4210476106.

Adding to 55054600 its reverse (645055), we get a palindrome (55699655).

The spelling of 55054600 in words is "fifty-five million, fifty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 200 302 604 755 1208 1510 1823 3020 3646 3775 6040 7292 7550 9115 14584 15100 18230 30200 36460 45575 72920 91150 182300 275273 364600 550546 1101092 1376365 2202184 2752730 5505460 6881825 11010920 13763650 27527300 55054600