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55240400 = 2452138101
BaseRepresentation
bin1101001010111…
…0011011010000
310211221111120202
43102232123100
5103120143100
65251554332
71240351505
oct322563320
9124844522
1055240400
11291aaa26
12165bb9a8
13b5a1737
14749d4ac
154cb27d5
hex34ae6d0

55240400 has 30 divisors (see below), whose sum is σ = 132716022. Its totient is φ = 22096000.

The previous prime is 55240321. The next prime is 55240417. The reversal of 55240400 is 404255.

It is a happy number.

55240400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5776 + 55234624 = 76^2 + 7432^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68651 + ... + 69450.

Almost surely, 255240400 is an apocalyptic number.

55240400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55240400 is an abundant number, since it is smaller than the sum of its proper divisors (77475622).

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

55240400 is a wasteful number, since it uses less digits than its factorization.

55240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138119 (or 138108 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 55240400 is about 7432.3885797232. The cubic root of 55240400 is about 380.8485194044.

Adding to 55240400 its reverse (404255), we get a palindrome (55644655).

The spelling of 55240400 in words is "fifty-five million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 138101 276202 552404 690505 1104808 1381010 2209616 2762020 3452525 5524040 6905050 11048080 13810100 27620200 55240400