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553232064 = 263711231627
BaseRepresentation
bin100000111110011…
…010011011000000
31102120000002201110
4200332122123000
52113111411224
6130521403320
716465252320
oct4076323300
91376002643
10553232064
11264315490
12135339540
138a802668
1453691280
1533880929
hex20f9a6c0

553232064 has 224 divisors, whose sum is σ = 1905463296. Its totient is φ = 137364480.

The previous prime is 553232059. The next prime is 553232077. The reversal of 553232064 is 460232355.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 339219 + ... + 340845.

Almost surely, 2553232064 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 553232064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952731648).

553232064 is an abundant number, since it is smaller than the sum of its proper divisors (1352231232).

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

553232064 is a wasteful number, since it uses less digits than its factorization.

553232064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 553232064 is about 23520.8856976093. The cubic root of 553232064 is about 820.9230454401.

The spelling of 553232064 in words is "five hundred fifty-three million, two hundred thirty-two thousand, sixty-four".