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531138304 = 282398681
BaseRepresentation
bin11111101010001…
…000011100000000
31101000102121210001
4133222020130000
52041432411204
6124412045344
716106413114
oct3752103400
91330377701
10531138304
112528a5084
12129a63854
1386068228
145077d744
15319694a4
hex1fa88700

531138304 has 36 divisors (see below), whose sum is σ = 1064760480. Its totient is φ = 264427520.

The previous prime is 531138301. The next prime is 531138317. The reversal of 531138304 is 403831135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531138301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56844 + ... + 65524.

It is an arithmetic number, because the mean of its divisors is an integer number (29576680).

Almost surely, 2531138304 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 531138304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532380240).

531138304 is an abundant number, since it is smaller than the sum of its proper divisors (533622176).

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

531138304 is an equidigital number, since it uses as much as digits as its factorization.

531138304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8936 (or 8922 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 531138304 is about 23046.4379894161. The cubic root of 531138304 is about 809.8461852931.

Adding to 531138304 its reverse (403831135), we get a palindrome (934969439).

The spelling of 531138304 in words is "five hundred thirty-one million, one hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 239 256 478 956 1912 3824 7648 8681 15296 17362 30592 34724 61184 69448 138896 277792 555584 1111168 2074759 2222336 4149518 8299036 16598072 33196144 66392288 132784576 265569152 531138304