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5748113808 = 24345218513
BaseRepresentation
bin1010101101001110…
…10100000110010000
3112211121002102210000
411112213110012100
543233004120213
62350214010000
7262305106203
oct52647240620
915747072700
105748113808
11248a729a88
121145046900
13707b45998
143c75a193a
1523997ec73
hex1569d4190

5748113808 has 100 divisors (see below), whose sum is σ = 16670599308. Its totient is φ = 1912135680.

The previous prime is 5748113807. The next prime is 5748113827. The reversal of 5748113808 is 8083118475.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4028187024 + 1719926784 = 63468^2 + 41472^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5748113807) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 670960 + ... + 679472.

Almost surely, 25748113808 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 5748113808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335299654).

5748113808 is an abundant number, since it is smaller than the sum of its proper divisors (10922485500).

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

5748113808 is a wasteful number, since it uses less digits than its factorization.

5748113808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9054 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 5748113808 is about 75816.3162386567. The cubic root of 5748113808 is about 1791.3280208602.

It can be divided in two parts, 57481 and 13808, that added together give a square (71289 = 2672).

The spelling of 5748113808 in words is "five billion, seven hundred forty-eight million, one hundred thirteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 521 648 1042 1296 1563 2084 3126 4168 4689 6252 8336 8513 9378 12504 14067 17026 18756 25008 25539 28134 34052 37512 42201 51078 56268 68104 75024 76617 84402 102156 112536 136208 153234 168804 204312 225072 229851 306468 337608 408624 459702 612936 675216 689553 919404 1225872 1379106 1838808 2758212 3677616 4435273 5516424 8870546 11032848 13305819 17741092 26611638 35482184 39917457 53223276 70964368 79834914 106446552 119752371 159669828 212893104 239504742 319339656 359257113 479009484 638679312 718514226 958018968 1437028452 1916037936 2874056904 5748113808