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272664441 = 3371442669
BaseRepresentation
bin10000010000001…
…000011101111001
3201000001210022000
4100100020131321
51024300230231
643020051213
76520416030
oct2020103571
9630053260
10272664441
1112aa03915
1277393b09
134464980a
14282d9717
1518e0e6e6
hex10408779

272664441 has 16 divisors (see below), whose sum is σ = 461654400. Its totient is φ = 155808144.

The previous prime is 272664401. The next prime is 272664451. The reversal of 272664441 is 144466272.

272664441 is a `hidden beast` number, since 2 + 7 + 2 + 6 + 644 + 4 + 1 = 666.

It is not a de Polignac number, because 272664441 - 223 = 264275833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 272664396 and 272664405.

It is not an unprimeable number, because it can be changed into a prime (272664401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721146 + ... + 721523.

It is an arithmetic number, because the mean of its divisors is an integer number (28853400).

Almost surely, 2272664441 is an apocalyptic number.

272664441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

272664441 is a deficient number, since it is larger than the sum of its proper divisors (188989959).

272664441 is a wasteful number, since it uses less digits than its factorization.

272664441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442685 (or 1442679 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 272664441 is about 16512.5540423037. The cubic root of 272664441 is about 648.4495123504.

The spelling of 272664441 in words is "two hundred seventy-two million, six hundred sixty-four thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 1442669 4328007 10098683 12984021 30296049 38952063 90888147 272664441