Search a number
-
+
533031408 = 243372132149
BaseRepresentation
bin11111110001010…
…110100111110000
31101010222210122000
4133301112213300
52042424001113
6124520414000
716131456300
oct3761264760
91333883560
10533031408
11253978428
1212a617300
138657bb00
1450b13600
1531be0373
hex1fc569f0

533031408 has 360 divisors, whose sum is σ = 1940166000. Its totient is φ = 139636224.

The previous prime is 533031403. The next prime is 533031419. The reversal of 533031408 is 804130335.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533031403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3577318 + ... + 3577466.

It is an arithmetic number, because the mean of its divisors is an integer number (5389350).

Almost surely, 2533031408 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 533031408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970083000).

533031408 is an abundant number, since it is smaller than the sum of its proper divisors (1407134592).

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

533031408 is a wasteful number, since it uses less digits than its factorization.

533031408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 533031408 is about 23087.4729669576. The cubic root of 533031408 is about 810.8072062845.

The spelling of 533031408 in words is "five hundred thirty-three million, thirty-one thousand, four hundred eight".