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500696064 = 21032112449
BaseRepresentation
bin11101110110000…
…000010000000000
31021220010222212200
4131312000100000
52011134233224
6121403353200
715256563201
oct3566002000
91256128780
10500696064
112376a2400
1211b822800
137c969b7b
144a6d75a8
152de545c9
hex1dd80400

500696064 has 198 divisors, whose sum is σ = 1592668350. Its totient is φ = 151388160.

The previous prime is 500696051. The next prime is 500696083. The reversal of 500696064 is 460696005.

It is a happy number.

500696064 is a `hidden beast` number, since 500 + 6 + 96 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 446054400 + 54641664 = 21120^2 + 7392^2 .

It is a tau number, because it is divible by the number of its divisors (198).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1114912 + ... + 1115360.

Almost surely, 2500696064 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 500696064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796334175).

500696064 is an abundant number, since it is smaller than the sum of its proper divisors (1091972286).

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

500696064 is a wasteful number, since it uses less digits than its factorization.

500696064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 500696064 is about 22376.2388260404. The cubic root of 500696064 is about 794.0686661128.

The spelling of 500696064 in words is "five hundred million, six hundred ninety-six thousand, sixty-four".