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574009984 = 2714930097
BaseRepresentation
bin100010001101101…
…011001010000000
31111000002201200001
4202031223022000
52133421304414
6132543005344
720140001332
oct4215531200
91430081601
10574009984
11275017219
12140299854
1391bc8ba2
145633d452
15355d7074
hex2236b280

574009984 has 32 divisors (see below), whose sum is σ = 1151248500. Its totient is φ = 285069312.

The previous prime is 574009979. The next prime is 574009987. The reversal of 574009984 is 489900475.

It can be written as a sum of positive squares in 2 ways, for example, as 413227584 + 160782400 = 20328^2 + 12680^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (574009987) 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 3 ways as a sum of consecutive naturals, for example, 4024 + ... + 34120.

Almost surely, 2574009984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 574009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575624250).

574009984 is an abundant number, since it is smaller than the sum of its proper divisors (577238516).

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

574009984 is a wasteful number, since it uses less digits than its factorization.

574009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30260 (or 30248 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 574009984 is about 23958.5054625701. The cubic root of 574009984 is about 831.0742291476.

The spelling of 574009984 in words is "five hundred seventy-four million, nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 149 298 596 1192 2384 4768 9536 19072 30097 60194 120388 240776 481552 963104 1926208 3852416 4484453 8968906 17937812 35875624 71751248 143502496 287004992 574009984