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574686112 = 257211213233
BaseRepresentation
bin100010010000010…
…000001110100000
31111001101002010211
4202100100032200
52134104423422
6133005303504
720145515500
oct4220201640
91431332124
10574686112
11275439200
12140564b94
13920a4870
1456477a00
15356bc577
hex224103a0

574686112 has 216 divisors, whose sum is σ = 1564627428. Its totient is φ = 205793280.

The previous prime is 574686089. The next prime is 574686121. The reversal of 574686112 is 211686475.

It can be written as a sum of positive squares in 2 ways, for example, as 505530256 + 69155856 = 22484^2 + 8316^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2466348 + ... + 2466580.

Almost surely, 2574686112 is an apocalyptic number.

574686112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 574686112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782313714).

574686112 is an abundant number, since it is smaller than the sum of its proper divisors (989941316).

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

574686112 is a wasteful number, since it uses less digits than its factorization.

574686112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 266 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 574686112 is about 23972.6117058613. The cubic root of 574686112 is about 831.4004093479.

It can be divided in two parts, 574 and 686112, that added together give a palindrome (686686).

The spelling of 574686112 in words is "five hundred seventy-four million, six hundred eighty-six thousand, one hundred twelve".