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5259083148 = 223211181239307
BaseRepresentation
bin1001110010111011…
…10011110110001100
3111120111220002211100
410321131303312030
541232311130043
62225504223100
7244216316634
oct47135636614
914514802740
105259083148
112259685010
12102930aa90
1365a731727
1437c6636c4
1520ba81cd3
hex139773d8c

5259083148 has 144 divisors (see below), whose sum is σ = 14691156480. Its totient is φ = 1573084800.

The previous prime is 5259083129. The next prime is 5259083149. The reversal of 5259083148 is 8413809525.

5259083148 is a `hidden beast` number, since 52 + 590 + 8 + 3 + 1 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (5259083149) 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 47 ways as a sum of consecutive naturals, for example, 17130411 + ... + 17130717.

It is an arithmetic number, because the mean of its divisors is an integer number (102021920).

Almost surely, 25259083148 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 5259083148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7345578240).

5259083148 is an abundant number, since it is smaller than the sum of its proper divisors (9432073332).

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

5259083148 is a wasteful number, since it uses less digits than its factorization.

5259083148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5259083148 is about 72519.5363195325. The cubic root of 5259083148 is about 1739.0150708052.

The spelling of 5259083148 in words is "five billion, two hundred fifty-nine million, eighty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 181 198 239 307 362 396 478 543 614 717 724 921 956 1086 1228 1434 1629 1842 1991 2151 2172 2629 2763 2868 3258 3377 3684 3982 4302 5258 5526 5973 6516 6754 7887 7964 8604 10131 10516 11052 11946 13508 15774 17919 20262 23661 23892 30393 31548 35838 40524 43259 47322 55567 60786 71676 73373 86518 94644 111134 121572 129777 146746 166701 173036 220119 222268 259554 293492 333402 389331 440238 475849 500103 519108 611237 660357 666804 778662 807103 880476 951698 1000206 1222474 1320714 1427547 1557324 1614206 1833711 1903396 2000412 2421309 2444948 2641428 2855094 3228412 3667422 4282641 4842618 5501133 5710188 7263927 7334844 8565282 9685236 11002266 13280513 14527854 17130564 22004532 26561026 29055708 39841539 53122052 79683078 119524617 146085643 159366156 239049234 292171286 438256929 478098468 584342572 876513858 1314770787 1753027716 2629541574 5259083148