Search a number
-
+
488428281 = 321131612609
BaseRepresentation
bin11101000111001…
…101001011111001
31021001001201122100
4131013031023321
52000014201111
6120244414013
715050400105
oct3507151371
91231051570
10488428281
11230783440
121176a7309
137a263023
1448c22905
152cd2e756
hex1d1cd2f9

488428281 has 48 divisors (see below), whose sum is σ = 807805440. Its totient is φ = 281664000.

The previous prime is 488428273. The next prime is 488428301. The reversal of 488428281 is 182824884.

It is not a de Polignac number, because 488428281 - 23 = 488428273 is a prime.

It is a super-2 number, since 2×4884282812 = 477124371361229922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (488423281) 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 47 ways as a sum of consecutive naturals, for example, 185905 + ... + 188513.

It is an arithmetic number, because the mean of its divisors is an integer number (16829280).

Almost surely, 2488428281 is an apocalyptic number.

It is an amenable number.

488428281 is a deficient number, since it is larger than the sum of its proper divisors (319377159).

488428281 is a wasteful number, since it uses less digits than its factorization.

488428281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2715 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 488428281 is about 22100.4135934149. The cubic root of 488428281 is about 787.5296871650.

The spelling of 488428281 in words is "four hundred eighty-eight million, four hundred twenty-eight thousand, two hundred eighty-one".

Divisors: 1 3 9 11 31 33 61 93 99 183 279 341 549 671 1023 1891 2013 2609 3069 5673 6039 7827 17019 20801 23481 28699 62403 80879 86097 159149 187209 242637 258291 477447 727911 889669 1432341 1750639 2669007 4933619 5251917 8007021 14800857 15755751 44402571 54269809 162809427 488428281