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533394720 = 2536517269
BaseRepresentation
bin11111110010101…
…111010100100000
31101011200021000000
4133302233110200
52043022112340
6124532300000
716134531435
oct3762572440
91334607000
10533394720
112540a6391
1212a771600
13866782a1
1450ba9b8c
1531c62d30
hex1fcaf520

533394720 has 336 divisors, whose sum is σ = 2007928440. Its totient is φ = 133373952.

The previous prime is 533394683. The next prime is 533394727. The reversal of 533394720 is 27493335.

It can be written as a sum of positive squares in 4 ways, for example, as 373726224 + 159668496 = 19332^2 + 12636^2 .

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

It is not an unprimeable number, because it can be changed into a prime (533394727) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1982746 + ... + 1983014.

Almost surely, 2533394720 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 533394720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003964220).

533394720 is an abundant number, since it is smaller than the sum of its proper divisors (1474533720).

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

533394720 is a wasteful number, since it uses less digits than its factorization.

533394720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 533394720 is about 23095.3397896632. The cubic root of 533394720 is about 810.9913787250.

The spelling of 533394720 in words is "five hundred thirty-three million, three hundred ninety-four thousand, seven hundred twenty".