Search a number
-
+
531555232 = 25135324109
BaseRepresentation
bin11111101011101…
…110001110100000
31101001012210200211
4133223232032200
52042034231412
6124425023504
716113100465
oct3753561640
91331183624
10531555232
1125305a34a
1212a024b94
1386182c30
145084b66c
15319ecca7
hex1faee3a0

531555232 has 48 divisors (see below), whose sum is σ = 1148311080. Its totient is φ = 240694272.

The previous prime is 531555187. The next prime is 531555253. The reversal of 531555232 is 232555135.

It can be written as a sum of positive squares in 4 ways, for example, as 447576336 + 83978896 = 21156^2 + 9164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 531555194 and 531555203.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9994 + ... + 34102.

Almost surely, 2531555232 is an apocalyptic number.

531555232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531555232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574155540).

531555232 is an abundant number, since it is smaller than the sum of its proper divisors (616755848).

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

531555232 is a wasteful number, since it uses less digits than its factorization.

531555232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24185 (or 24177 counting only the distinct ones).

The product of its digits is 22500, while the sum is 31.

The square root of 531555232 is about 23055.4816041652. The cubic root of 531555232 is about 810.0580317108.

The spelling of 531555232 in words is "five hundred thirty-one million, five hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 208 212 416 424 689 848 1378 1696 2756 5512 11024 22048 24109 48218 96436 192872 313417 385744 626834 771488 1253668 1277777 2507336 2555554 5014672 5111108 10029344 10222216 16611101 20444432 33222202 40888864 66444404 132888808 265777616 531555232