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502096896 = 21032743181
BaseRepresentation
bin11101111011010…
…110010000000000
31021222210011110100
4131323112100000
52012014100041
6121453402400
715304516230
oct3573262000
91258704410
10502096896
11238469914
12120199400
138003a672
144a97dcc0
152e12e6b6
hex1ded6400

502096896 has 264 divisors, whose sum is σ = 1704807104. Its totient is φ = 139345920.

The previous prime is 502096883. The next prime is 502096897. The reversal of 502096896 is 698690205.

It is not an unprimeable number, because it can be changed into a prime (502096897) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2773926 + ... + 2774106.

Almost surely, 2502096896 is an apocalyptic number.

502096896 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 502096896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852403552).

502096896 is an abundant number, since it is smaller than the sum of its proper divisors (1202710208).

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

502096896 is a wasteful number, since it uses less digits than its factorization.

502096896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 502096896 is about 22407.5187381379. The cubic root of 502096896 is about 794.8085168356.

The spelling of 502096896 in words is "five hundred two million, ninety-six thousand, eight hundred ninety-six".