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574016768 = 2813173997
BaseRepresentation
bin100010001101101…
…100110100000000
31111000010001222022
4202031230310000
52133422014033
6132543101012
720140030163
oct4215546400
91430101868
10574016768
11275021326
121402a1768
1391bcbcc0
1456341ada
15355d9098
hex2236cd00

574016768 has 72 divisors (see below), whose sum is σ = 1242306408. Its totient is φ = 263135232.

The previous prime is 574016741. The next prime is 574016789. The reversal of 574016768 is 867610475.

It can be written as a sum of positive squares in 4 ways, for example, as 204146944 + 369869824 = 14288^2 + 19232^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 575246 + ... + 576242.

Almost surely, 2574016768 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 574016768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621153204).

574016768 is an abundant number, since it is smaller than the sum of its proper divisors (668289640).

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

574016768 is a wasteful number, since it uses less digits than its factorization.

574016768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 574016768 is about 23958.6470402650. The cubic root of 574016768 is about 831.0775031821.

The spelling of 574016768 in words is "five hundred seventy-four million, sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 173 208 256 346 416 692 832 997 1384 1664 1994 2249 2768 3328 3988 4498 5536 7976 8996 11072 12961 15952 17992 22144 25922 31904 35984 44288 51844 63808 71968 103688 127616 143936 172481 207376 255232 287872 344962 414752 575744 689924 829504 1379848 1659008 2242253 2759696 3318016 4484506 5519392 8969012 11038784 17938024 22077568 35876048 44155136 71752096 143504192 287008384 574016768