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530547072 = 273112343127
BaseRepresentation
bin11111100111111…
…000000110000000
31100222022120202120
4133213320012000
52041310001242
6124351244240
716101401316
oct3747700600
91328276676
10530547072
11252530960
12129819680
1385bbc0a3
14506680b6
153189e1ec
hex1f9f8180

530547072 has 256 divisors, whose sum is σ = 1654456320. Its totient is φ = 149022720.

The previous prime is 530547047. The next prime is 530547097. The reversal of 530547072 is 270745035.

It is an interprime number because it is at equal distance from previous prime (530547047) and next prime (530547097).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4177473 + ... + 4177599.

It is an arithmetic number, because the mean of its divisors is an integer number (6462720).

Almost surely, 2530547072 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 530547072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827228160).

530547072 is an abundant number, since it is smaller than the sum of its proper divisors (1123909248).

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

530547072 is a wasteful number, since it uses less digits than its factorization.

530547072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 530547072 is about 23033.6074465117. The cubic root of 530547072 is about 809.5455826402.

The spelling of 530547072 in words is "five hundred thirty million, five hundred forty-seven thousand, seventy-two".