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55540800 = 26325271929
BaseRepresentation
bin1101001111011…
…1110001000000
310212111202122200
43103313301000
5103204301200
65302233200
71243042350
oct323676100
9125452580
1055540800
1129395697
1216725800
13b6783a3
14753ab60
154d21800
hex34f7c40

55540800 has 504 divisors, whose sum is σ = 245668800. Its totient is φ = 11612160.

The previous prime is 55540799. The next prime is 55540813. The reversal of 55540800 is 804555.

55540800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 1915186 + ... + 1915214.

Almost surely, 255540800 is an apocalyptic number.

55540800 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 55540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122834400).

55540800 is an abundant number, since it is smaller than the sum of its proper divisors (190128000).

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

55540800 is a wasteful number, since it uses less digits than its factorization.

55540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 55540800 is about 7452.5700265076. The cubic root of 55540800 is about 381.5376294040.

The spelling of 55540800 in words is "fifty-five million, five hundred forty thousand, eight hundred".