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55444200 = 23352743307
BaseRepresentation
bin1101001110000…
…0001011101000
310212022212010220
43103200023220
5103143203300
65300210040
71242160620
oct323401350
9125285126
1055444200
112932a059
1216699920
13b643426
147513880
154d02da0
hex34e02e8

55444200 has 192 divisors, whose sum is σ = 201653760. Its totient is φ = 12337920.

The previous prime is 55444199. The next prime is 55444217. The reversal of 55444200 is 244455.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 180447 + ... + 180753.

It is an arithmetic number, because the mean of its divisors is an integer number (1050280).

Almost surely, 255444200 is an apocalyptic number.

55444200 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 55444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100826880).

55444200 is an abundant number, since it is smaller than the sum of its proper divisors (146209560).

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

55444200 is a wasteful number, since it uses less digits than its factorization.

55444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 55444200 is about 7446.0862202905. The cubic root of 55444200 is about 381.3163030793.

55444200 divided by its sum of digits (24) gives a triangular number (2310175 = T2149).

Adding to 55444200 its reverse (244455), we get a palindrome (55688655).

The spelling of 55444200 in words is "fifty-five million, four hundred forty-four thousand, two hundred".