Search a number
-
+
500054016 = 21137211151
BaseRepresentation
bin11101110011100…
…011100000000000
31021211221101011010
4131303203200000
52011003212031
6121341520520
715251250300
oct3563434000
91254841133
10500054016
112372a3a90
1211b573140
137c7a3867
144a5ab600
152dd79246
hex1dce3800

500054016 has 288 divisors, whose sum is σ = 1702995840. Its totient is φ = 129024000.

The previous prime is 500053937. The next prime is 500054021. The reversal of 500054016 is 610450005.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 500053983 and 500054001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3311541 + ... + 3311691.

It is an arithmetic number, because the mean of its divisors is an integer number (5913180).

Almost surely, 2500054016 is an apocalyptic number.

500054016 is a gapful number since it is divisible by the number (56) 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 500054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851497920).

500054016 is an abundant number, since it is smaller than the sum of its proper divisors (1202941824).

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

500054016 is a wasteful number, since it uses less digits than its factorization.

500054016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 500054016 is about 22361.8875768572. The cubic root of 500054016 is about 793.7291066400.

The spelling of 500054016 in words is "five hundred million, fifty-four thousand, sixteen".