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268831125 = 32531971213
BaseRepresentation
bin10000000001100…
…000100110010101
3200201212000222100
4100001200212111
51022310044000
642401552313
76443012133
oct2001404625
9621760870
10268831125
11128825892
1276045699
1343906a94
14279bc753
1518903a00
hex10060995

268831125 has 48 divisors (see below), whose sum is σ = 487474416. Its totient is φ = 142531200.

The previous prime is 268831109. The next prime is 268831177. The reversal of 268831125 is 521138862.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 79548561 + 189282564 = 8919^2 + 13758^2 .

It is not a de Polignac number, because 268831125 - 24 = 268831109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 268831125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221019 + ... + 222231.

It is an arithmetic number, because the mean of its divisors is an integer number (10155717).

Almost surely, 2268831125 is an apocalyptic number.

268831125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

268831125 is a deficient number, since it is larger than the sum of its proper divisors (218643291).

268831125 is a wasteful number, since it uses less digits than its factorization.

268831125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1418 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 268831125 is about 16396.0704133643. The cubic root of 268831125 is about 645.3963671541.

Adding to 268831125 its reverse (521138862), we get a palindrome (789969987).

The spelling of 268831125 in words is "two hundred sixty-eight million, eight hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 197 225 375 591 985 1125 1213 1773 2955 3639 4925 6065 8865 10917 14775 18195 24625 30325 44325 54585 73875 90975 151625 221625 238961 272925 454875 716883 1194805 1364625 2150649 3584415 5974025 10753245 17922075 29870125 53766225 89610375 268831125