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533804040 = 233357311131
BaseRepresentation
bin11111110100010…
…011010000001000
31101012110001111000
4133310103100020
52043123212130
6124545135000
716141155000
oct3764232010
91335401430
10533804040
11254355970
1212a92a460
138678c6a3
1450c75000
1531ce4260
hex1fd13408

533804040 has 512 divisors, whose sum is σ = 2280960000. Its totient is φ = 110073600.

The previous prime is 533804017. The next prime is 533804059. The reversal of 533804040 is 40408335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 533803995 and 533804013.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 4074775 + ... + 4074905.

It is an arithmetic number, because the mean of its divisors is an integer number (4455000).

Almost surely, 2533804040 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 533804040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140480000).

533804040 is an abundant number, since it is smaller than the sum of its proper divisors (1747155960).

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

533804040 is a wasteful number, since it uses less digits than its factorization.

533804040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 533804040 is about 23104.1996182512. The cubic root of 533804040 is about 811.1987736755.

The spelling of 533804040 in words is "five hundred thirty-three million, eight hundred four thousand, forty".