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427786489 = 132372432
BaseRepresentation
bin11001011111111…
…000000011111001
31002210221210202001
4121133320003321
51334003131424
6110240541001
713413060634
oct3137700371
91083853661
10427786489
111aa524359
12bb321761
136a81cc00
1440b58c1b
1527851844
hex197f80f9

427786489 has 27 divisors (see below), whose sum is σ = 487411533. Its totient is φ = 375272352.

The previous prime is 427786483. The next prime is 427786507. The reversal of 427786489 is 984687724.

It is a happy number.

The square root of 427786489 is 20683.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1776889 + 426009600 = 1333^2 + 20640^2 .

It is not a de Polignac number, because 427786489 - 221 = 425689337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (427786483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9948502 + ... + 9948544.

It is an arithmetic number, because the mean of its divisors is an integer number (18052279).

Almost surely, 2427786489 is an apocalyptic number.

427786489 is the 20683-rd square number.

427786489 is the 10342-nd centered octagonal number.

It is an amenable number.

427786489 is a deficient number, since it is larger than the sum of its proper divisors (59625044).

427786489 is an equidigital number, since it uses as much as digits as its factorization.

427786489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 55.

The cubic root of 427786489 is about 753.4868684678.

It can be divided in two parts, 427786 and 489, that added together give a triangular number (428275 = T925).

The spelling of 427786489 in words is "four hundred twenty-seven million, seven hundred eighty-six thousand, four hundred eighty-nine".

Divisors: 1 13 37 43 169 481 559 1369 1591 1849 6253 7267 17797 20683 24037 58867 68413 231361 268879 312481 765271 889369 2531281 9948523 11561797 32906653 427786489