Search a number
-
+
4048022616 = 23311671311747
BaseRepresentation
bin1111000101000111…
…1110110001011000
3101110010001212002120
43301101332301120
531242243210431
61505403101240
7202212424131
oct36121766130
911403055076
104048022616
111798004340
1294b811820
134c6866a71
142a5894c88
1518a5ae196
hexf147ec58

4048022616 has 128 divisors (see below), whose sum is σ = 11296834560. Its totient is φ = 1198454400.

The previous prime is 4048022603. The next prime is 4048022621. The reversal of 4048022616 is 6162208404.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2316255 + ... + 2318001.

It is an arithmetic number, because the mean of its divisors is an integer number (88256520).

Almost surely, 24048022616 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 4048022616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648417280).

4048022616 is an abundant number, since it is smaller than the sum of its proper divisors (7248811944).

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

4048022616 is a wasteful number, since it uses less digits than its factorization.

4048022616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4048022616 is about 63624.0726140664. The cubic root of 4048022616 is about 1593.7283937586.

The spelling of 4048022616 in words is "four billion, forty-eight million, twenty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 131 132 134 201 262 264 268 393 402 524 536 737 786 804 1048 1441 1474 1572 1608 1747 2211 2882 2948 3144 3494 4323 4422 5241 5764 5896 6988 8646 8777 8844 10482 11528 13976 17292 17554 17688 19217 20964 26331 34584 35108 38434 41928 52662 57651 70216 76868 96547 105324 115302 117049 153736 193094 210648 228857 230604 234098 289641 351147 386188 457714 461208 468196 579282 686571 702294 772376 915428 936392 1158564 1287539 1373142 1404588 1830856 2317128 2517427 2575078 2746284 2809176 3862617 5034854 5150156 5492568 7552281 7725234 10069708 10300312 15104562 15333419 15450468 20139416 30209124 30666838 30900936 46000257 60418248 61333676 92000514 122667352 168667609 184001028 337335218 368002056 506002827 674670436 1012005654 1349340872 2024011308 4048022616