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272818133 = 7240913613
BaseRepresentation
bin10000010000101…
…101111111010101
3201000100121010022
4100100231333111
51024320140013
643023234525
76521626100
oct2020557725
9630317108
10272818133
1112aaa9335
1277448a45
13446a1763
1428339737
1518e40008
hex1042dfd5

272818133 has 12 divisors (see below), whose sum is σ = 318159180. Its totient is φ = 233255232.

The previous prime is 272818099. The next prime is 272818151. The reversal of 272818133 is 331818272.

It can be written as a sum of positive squares in 2 ways, for example, as 97970404 + 174847729 = 9898^2 + 13223^2 .

It is not a de Polignac number, because 272818133 - 212 = 272814037 is a prime.

It is a super-3 number, since 3×2728181333 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 272818093 and 272818102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272818163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13235 + ... + 26847.

It is an arithmetic number, because the mean of its divisors is an integer number (26513265).

Almost surely, 2272818133 is an apocalyptic number.

It is an amenable number.

272818133 is a deficient number, since it is larger than the sum of its proper divisors (45341047).

272818133 is a wasteful number, since it uses less digits than its factorization.

272818133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14036 (or 14029 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 272818133 is about 16517.2071791814. The cubic root of 272818133 is about 648.5713260378.

The spelling of 272818133 in words is "two hundred seventy-two million, eight hundred eighteen thousand, one hundred thirty-three".

Divisors: 1 7 49 409 2863 13613 20041 95291 667037 5567717 38974019 272818133