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573005664 = 2536711229
BaseRepresentation
bin100010001001110…
…101111101100000
31110221012201000000
4202021311331200
52133142140124
6132505300000
720125316310
oct4211657540
91427181000
10573005664
112744a0700
1213ba94600
1391936a0a
145615b440
15354896c9
hex22275f60

573005664 has 504 divisors, whose sum is σ = 2197979280. Its totient is φ = 143700480.

The previous prime is 573005663. The next prime is 573005701. The reversal of 573005664 is 466500375.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (573005663) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19758802 + ... + 19758830.

It is an arithmetic number, because the mean of its divisors is an integer number (4361070).

Almost surely, 2573005664 is an apocalyptic number.

573005664 is a gapful number since it is divisible by the number (54) 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 573005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098989640).

573005664 is an abundant number, since it is smaller than the sum of its proper divisors (1624973616).

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

573005664 is a wasteful number, since it uses less digits than its factorization.

573005664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 573005664 is about 23937.5367153765. The cubic root of 573005664 is about 830.5892481899.

The spelling of 573005664 in words is "five hundred seventy-three million, five thousand, six hundred sixty-four".