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427472442 = 23237696301
BaseRepresentation
bin11001011110101…
…011011000111010
31002210100211221200
4121132223120322
51333413104232
6110230115030
713410312225
oct3136533072
91083324850
10427472442
111aa32a411
12bb1aba76
136a73cc97
1440ab65bc
15277dd77c
hex197ab63a

427472442 has 24 divisors (see below), whose sum is σ = 926583060. Its totient is φ = 142430400.

The previous prime is 427472389. The next prime is 427472449. The reversal of 427472442 is 244274724.

It can be written as a sum of positive squares in 2 ways, for example, as 403648281 + 23824161 = 20091^2 + 4881^2 .

It is a junction number, because it is equal to n+sod(n) for n = 427472397 and 427472406.

It is not an unprimeable number, because it can be changed into a prime (427472449) 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 11 ways as a sum of consecutive naturals, for example, 64692 + ... + 70992.

Almost surely, 2427472442 is an apocalyptic number.

427472442 is an abundant number, since it is smaller than the sum of its proper divisors (499110618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427472442 is a wasteful number, since it uses less digits than its factorization.

427472442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10078 (or 10075 counting only the distinct ones).

The product of its digits is 100352, while the sum is 36.

The square root of 427472442 is about 20675.4066949117. The cubic root of 427472442 is about 753.3024398448.

The spelling of 427472442 in words is "four hundred twenty-seven million, four hundred seventy-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 3769 6301 7538 11307 12602 18903 22614 33921 37806 56709 67842 113418 23748469 47496938 71245407 142490814 213736221 427472442