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530305776 = 2432711132283
BaseRepresentation
bin11111100110111…
…101001011110000
31100221212022202200
4133212331023300
52041224241101
6124342143200
716066344660
oct3746751360
91327768680
10530305776
11252386640
12129721b00
1385b36300
14506041a0
1531852986
hex1f9bd2f0

530305776 has 360 divisors, whose sum is σ = 2010692736. Its totient is φ = 126696960.

The previous prime is 530305753. The next prime is 530305777. The reversal of 530305776 is 677503035.

530305776 is a `hidden beast` number, since 53 + 0 + 30 + 577 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 530305776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530305777) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1873731 + ... + 1874013.

Almost surely, 2530305776 is an apocalyptic number.

530305776 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 530305776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005346368).

530305776 is an abundant number, since it is smaller than the sum of its proper divisors (1480386960).

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

530305776 is a wasteful number, since it uses less digits than its factorization.

530305776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The square root of 530305776 is about 23028.3689392019. The cubic root of 530305776 is about 809.4228352959.

The spelling of 530305776 in words is "five hundred thirty million, three hundred five thousand, seven hundred seventy-six".