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55544400 = 24335237139
BaseRepresentation
bin1101001111100…
…0101001010000
310212111221121000
43103320221100
5103204410100
65302302000
71243056012
oct323705120
9125457530
1055544400
112939836a
1216727900
13b679c12
14753c1b2
154d22900
hex34f8a50

55544400 has 240 divisors, whose sum is σ = 204500800. Its totient is φ = 14307840.

The previous prime is 55544341. The next prime is 55544413. The reversal of 55544400 is 444555.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399531 + ... + 399669.

Almost surely, 255544400 is an apocalyptic number.

55544400 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 55544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102250400).

55544400 is an abundant number, since it is smaller than the sum of its proper divisors (148956400).

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

55544400 is a wasteful number, since it uses less digits than its factorization.

55544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 55544400 is about 7452.8115500125. The cubic root of 55544400 is about 381.5458726281.

Adding to 55544400 its reverse (444555), we get a palindrome (55988955).

The spelling of 55544400 in words is "fifty-five million, five hundred forty-four thousand, four hundred".