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427955857 = 7273181661
BaseRepresentation
bin11001100000100…
…001011010010001
31002211021102001221
4121200201122101
51334024041412
6110244325041
713414364500
oct3140413221
91084242057
10427955857
111aa62a62a
12bb3a3781
136a87c024
1440ba0837
1527886b07
hex19821691

427955857 has 24 divisors (see below), whose sum is σ = 508201512. Its totient is φ = 359251200.

The previous prime is 427955839. The next prime is 427955861. The reversal of 427955857 is 758559724.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24910081 + 403045776 = 4991^2 + 20076^2 .

It is not a de Polignac number, because 427955857 - 27 = 427955729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (427955557) 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 23 ways as a sum of consecutive naturals, for example, 647107 + ... + 647767.

It is an arithmetic number, because the mean of its divisors is an integer number (21175063).

Almost surely, 2427955857 is an apocalyptic number.

It is an amenable number.

427955857 is a deficient number, since it is larger than the sum of its proper divisors (80245655).

427955857 is a wasteful number, since it uses less digits than its factorization.

427955857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 922 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 52.

The square root of 427955857 is about 20687.0939718463. The cubic root of 427955857 is about 753.5862948009.

The spelling of 427955857 in words is "four hundred twenty-seven million, nine hundred fifty-five thousand, eight hundred fifty-seven".

Divisors: 1 7 49 73 181 511 661 1267 3577 4627 8869 13213 32389 48253 92491 119641 337771 647437 837487 2364397 5862409 8733793 61136551 427955857