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272431431 = 357571481
BaseRepresentation
bin10000001111001…
…111100101000111
3200222121221200000
4100033033211013
51024220301211
643011052343
76515425506
oct2017174507
9628557600
10272431431
1112a864848
12772a10b3
134459773c
142827883d
1518db5656
hex103cf947

272431431 has 24 divisors (see below), whose sum is σ = 408901584. Its totient is φ = 181258560.

The previous prime is 272431427. The next prime is 272431433. The reversal of 272431431 is 134134272.

It is a happy number.

It is not a de Polignac number, because 272431431 - 22 = 272431427 is a prime.

It is a super-2 number, since 2×2724314312 = 148437769193415522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 272431395 and 272431404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272431433) 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, 183211 + ... + 184691.

It is an arithmetic number, because the mean of its divisors is an integer number (17037566).

Almost surely, 2272431431 is an apocalyptic number.

272431431 is a deficient number, since it is larger than the sum of its proper divisors (136470153).

272431431 is an equidigital number, since it uses as much as digits as its factorization.

272431431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2241 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 272431431 is about 16505.4969934262. The cubic root of 272431431 is about 648.2647452167.

The spelling of 272431431 in words is "two hundred seventy-two million, four hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 27 81 243 757 1481 2271 4443 6813 13329 20439 39987 61317 119961 183951 359883 1121117 3363351 10090053 30270159 90810477 272431431