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500055444 = 223473759101
BaseRepresentation
bin11101110011100…
…011110110010100
31021211221110010000
4131303203312110
52011003233234
6121341531300
715251254410
oct3563436624
91254843100
10500055444
112372a5069
1211b573b30
137c7a43c5
144a5abd40
152dd79899
hex1dce3d94

500055444 has 240 divisors, whose sum is σ = 1575826560. Its totient is φ = 135302400.

The previous prime is 500055431. The next prime is 500055449. The reversal of 500055444 is 444550005.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500055449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4950994 + ... + 4951094.

It is an arithmetic number, because the mean of its divisors is an integer number (6565944).

Almost surely, 2500055444 is an apocalyptic number.

500055444 is a gapful number since it is divisible by the number (54) 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 500055444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787913280).

500055444 is an abundant number, since it is smaller than the sum of its proper divisors (1075771116).

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

500055444 is a wasteful number, since it uses less digits than its factorization.

500055444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

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

The square root of 500055444 is about 22361.9195061605. The cubic root of 500055444 is about 793.7298621878.

The spelling of 500055444 in words is "five hundred million, fifty-five thousand, four hundred forty-four".