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5769983808 = 26347271531
BaseRepresentation
bin1010101111110101…
…01111011101000000
3112220010020112210000
411113322233131000
543304103440213
62352314440000
7262662024141
oct52772573500
915803215700
105769983808
1124a1007266
121150433000
1370c532304
143ca455ac8
1523b84ec73
hex157eaf740

5769983808 has 140 divisors (see below), whose sum is σ = 17138753632. Its totient is φ = 1919427840.

The previous prime is 5769983801. The next prime is 5769983827. The reversal of 5769983808 is 8083899675.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5769983801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3768003 + ... + 3769533.

Almost surely, 25769983808 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 5769983808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8569376816).

5769983808 is an abundant number, since it is smaller than the sum of its proper divisors (11368769824).

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

5769983808 is a wasteful number, since it uses less digits than its factorization.

5769983808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The square root of 5769983808 is about 75960.4094775693. The cubic root of 5769983808 is about 1793.5969833285.

The spelling of 5769983808 in words is "five billion, seven hundred sixty-nine million, nine hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 727 864 1296 1454 1531 1728 2181 2592 2908 3062 4362 4593 5184 5816 6124 6543 8724 9186 11632 12248 13086 13779 17448 18372 19629 23264 24496 26172 27558 34896 36744 39258 41337 46528 48992 52344 55116 58887 69792 73488 78516 82674 97984 104688 110232 117774 124011 139584 146976 157032 165348 209376 220464 235548 248022 293952 314064 330696 418752 440928 471096 496044 628128 661392 881856 942192 992088 1113037 1256256 1322784 1884384 1984176 2226074 2645568 3339111 3768768 3968352 4452148 6678222 7936704 8904296 10017333 13356444 17808592 20034666 26712888 30051999 35617184 40069332 53425776 60103998 71234368 80138664 90155997 106851552 120207996 160277328 180311994 213703104 240415992 320554656 360623988 480831984 641109312 721247976 961663968 1442495952 1923327936 2884991904 5769983808