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427267577 = 11211331249
BaseRepresentation
bin11001011101111…
…001010111111001
31002202222102221002
4121131321113321
51333340030302
6110221454345
713405500032
oct3135712771
91082872832
10427267577
111aa1aa500
12bb1113b5
136a69a969
1440a61a89
152779cc02
hex197795f9

427267577 has 12 divisors (see below), whose sum is σ = 473812500. Its totient is φ = 384975360.

The previous prime is 427267571. The next prime is 427267583. The reversal of 427267577 is 775762724.

It is an interprime number because it is at equal distance from previous prime (427267571) and next prime (427267583).

It can be written as a sum of positive squares in 2 ways, for example, as 111281401 + 315986176 = 10549^2 + 17776^2 .

It is not a de Polignac number, because 427267577 - 214 = 427251193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (427267571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1952 + ... + 29297.

It is an arithmetic number, because the mean of its divisors is an integer number (39484375).

Almost surely, 2427267577 is an apocalyptic number.

It is an amenable number.

427267577 is a deficient number, since it is larger than the sum of its proper divisors (46544923).

427267577 is a wasteful number, since it uses less digits than its factorization.

427267577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31384 (or 31373 counting only the distinct ones).

The product of its digits is 1152480, while the sum is 47.

The square root of 427267577 is about 20670.4517850965. The cubic root of 427267577 is about 753.1820812368.

The spelling of 427267577 in words is "four hundred twenty-seven million, two hundred sixty-seven thousand, five hundred seventy-seven".

Divisors: 1 11 113 121 1243 13673 31249 343739 3531137 3781129 38842507 427267577