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500785152 = 213374171
BaseRepresentation
bin11101110110010…
…110000000000000
31021220022112002020
4131312112000000
52011200111102
6121405321440
715260414010
oct3566260000
91256275066
10500785152
1123775332a
1211b866280
137c99b59a
144a71bc40
152de70bbc
hex1dd96000

500785152 has 224 divisors, whose sum is σ = 1585350144. Its totient is φ = 137625600.

The previous prime is 500785123. The next prime is 500785157. The reversal of 500785152 is 251587005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500785157) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7053277 + ... + 7053347.

It is an arithmetic number, because the mean of its divisors is an integer number (7077456).

Almost surely, 2500785152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500785152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792675072).

500785152 is an abundant number, since it is smaller than the sum of its proper divisors (1084564992).

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

500785152 is an equidigital number, since it uses as much as digits as its factorization.

500785152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 500785152 is about 22378.2294205775. The cubic root of 500785152 is about 794.1157590827.

The spelling of 500785152 in words is "five hundred million, seven hundred eighty-five thousand, one hundred fifty-two".