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5752327842 = 2321771271977
BaseRepresentation
bin1010101101101110…
…11000111010100010
3112211220000112100100
411112313120322202
543240043442332
62350444203230
7262355660052
oct52667307242
915756015310
105752327842
112492048058
121146539516
1370898cab1
143c7d7b562
1523a01367c
hex156dd8ea2

5752327842 has 96 divisors (see below), whose sum is σ = 13445512704. Its totient is φ = 1770854400.

The previous prime is 5752327831. The next prime is 5752327873. The reversal of 5752327842 is 2487232575.

5752327842 is a `hidden beast` number, since 57 + 523 + 2 + 78 + 4 + 2 = 666.

Its product of digits (940800) is a multiple of the sum of its prime factors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5887258 + ... + 5888234.

It is an arithmetic number, because the mean of its divisors is an integer number (140057424).

Almost surely, 25752327842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5752327842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722756352).

5752327842 is an abundant number, since it is smaller than the sum of its proper divisors (7693184862).

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

5752327842 is a wasteful number, since it uses less digits than its factorization.

5752327842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1341 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 5752327842 is about 75844.1022229151. The cubic root of 5752327842 is about 1791.7656643199.

The spelling of 5752327842 in words is "five billion, seven hundred fifty-two million, three hundred twenty-seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 142 153 213 271 306 426 542 639 813 977 1207 1278 1626 1954 2414 2439 2931 3621 4607 4878 5862 7242 8793 9214 10863 13821 16609 17586 19241 21726 27642 33218 38482 41463 49827 57723 69367 82926 99654 115446 138734 149481 173169 208101 264767 298962 327097 346338 416202 529534 624303 654194 794301 981291 1179239 1248606 1588602 1962582 2358478 2382903 2943873 3537717 4501039 4765806 5887746 7075434 9002078 10613151 13503117 18798457 21226302 27006234 37596914 40509351 56395371 81018702 112790742 169186113 319573769 338372226 639147538 958721307 1917442614 2876163921 5752327842