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268453625 = 5311217749
BaseRepresentation
bin10000000000000…
…100011011111001
3200201010212010212
4100000010123321
51022211004000
642345520505
76436550426
oct2000043371
9621125125
10268453625
11128598200
1275aa3135
1343803ccb
1427920d4d
151887bc35
hex100046f9

268453625 has 24 divisors (see below), whose sum is σ = 368277000. Its totient is φ = 195228000.

The previous prime is 268453621. The next prime is 268453649. The reversal of 268453625 is 526354862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57942544 + 210511081 = 7612^2 + 14509^2 .

It is not a de Polignac number, because 268453625 - 22 = 268453621 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (268453621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6251 + ... + 23999.

It is an arithmetic number, because the mean of its divisors is an integer number (15344875).

Almost surely, 2268453625 is an apocalyptic number.

268453625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

268453625 is a deficient number, since it is larger than the sum of its proper divisors (99823375).

268453625 is a wasteful number, since it uses less digits than its factorization.

268453625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17786 (or 17765 counting only the distinct ones).

The product of its digits is 345600, while the sum is 41.

The square root of 268453625 is about 16384.5544644949. The cubic root of 268453625 is about 645.0941312451.

The spelling of 268453625 in words is "two hundred sixty-eight million, four hundred fifty-three thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 1375 3025 15125 17749 88745 195239 443725 976195 2147629 2218625 4880975 10738145 24404875 53690725 268453625