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428584932 = 2236146977
BaseRepresentation
bin11001100010111…
…010111111100100
31002212110101000000
4121202322333210
51334204204212
6110310021300
713422624516
oct3142727744
91085411000
10428584932
111aaa1a226
12bb647830
136aa3c469
1440cc5bb6
152795d1dc
hex198bafe4

428584932 has 42 divisors (see below), whose sum is σ = 1124528678. Its totient is φ = 142860672.

The previous prime is 428584927. The next prime is 428584973. The reversal of 428584932 is 239485824.

It can be written as a sum of positive squares in only one way, i.e., 397045476 + 31539456 = 19926^2 + 5616^2 .

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 70573 + ... + 76404.

Almost surely, 2428584932 is an apocalyptic number.

It is an amenable number.

428584932 is an abundant number, since it is smaller than the sum of its proper divisors (695943746).

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

428584932 is a wasteful number, since it uses less digits than its factorization.

428584932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146999 (or 146982 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 428584932 is about 20702.2929164863. The cubic root of 428584932 is about 753.9553595046.

The spelling of 428584932 in words is "four hundred twenty-eight million, five hundred eighty-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 146977 293954 440931 587908 881862 1322793 1763724 2645586 3968379 5291172 7936758 11905137 15873516 23810274 35715411 47620548 71430822 107146233 142861644 214292466 428584932