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508031472 = 243133126263
BaseRepresentation
bin11110010001111…
…111000111110000
31022101221200011110
4132101333013300
52020024001342
6122224513320
715406124214
oct3621770760
91271850143
10508031472
11240852623
1212217b840
1381337950
144b686944
152e902c9c
hex1e47f1f0

508031472 has 80 divisors (see below), whose sum is σ = 1459017728. Its totient is φ = 151269120.

The previous prime is 508031449. The next prime is 508031473. The reversal of 508031472 is 274130805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508031473) 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 15 ways as a sum of consecutive naturals, for example, 6213 + ... + 32475.

Almost surely, 2508031472 is an apocalyptic number.

508031472 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 508031472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729508864).

508031472 is an abundant number, since it is smaller than the sum of its proper divisors (950986256).

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

508031472 is a wasteful number, since it uses less digits than its factorization.

508031472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26318 (or 26312 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 508031472 is about 22539.5535004578. The cubic root of 508031472 is about 797.9276949079.

The spelling of 508031472 in words is "five hundred eight million, thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 19344 26263 52526 78789 105052 157578 210104 315156 341419 420208 630312 682838 814153 1024257 1260624 1365676 1628306 2048514 2442459 2731352 3256612 4097028 4884918 5462704 6513224 8194056 9769836 10583989 13026448 16388112 19539672 21167978 31751967 39079344 42335956 63503934 84671912 127007868 169343824 254015736 508031472