Search a number
-
+
4076508336 = 2431767173431
BaseRepresentation
bin1111001011111010…
…1001010010110000
3101112002200002011020
43302332221102300
531322041231321
61512301415440
7203006514645
oct36276512260
911462602136
104076508336
1118020a005a
1295926a580
134cc72b714
142a958bdcc
1518cd394c6
hexf2fa94b0

4076508336 has 160 divisors (see below), whose sum is σ = 11408698368. Its totient is φ = 1249628160.

The previous prime is 4076508329. The next prime is 4076508341. The reversal of 4076508336 is 6338056704.

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, 9458041 + ... + 9458471.

Almost surely, 24076508336 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 4076508336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5704349184).

4076508336 is an abundant number, since it is smaller than the sum of its proper divisors (7332190032).

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

4076508336 is a wasteful number, since it uses less digits than its factorization.

4076508336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 4076508336 is about 63847.5397803236. The cubic root of 4076508336 is about 1597.4579864098.

The spelling of 4076508336 in words is "four billion, seventy-six million, five hundred eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 67 68 102 134 136 173 201 204 268 272 346 402 408 431 519 536 692 804 816 862 1038 1072 1139 1293 1384 1608 1724 2076 2278 2586 2768 2941 3216 3417 3448 4152 4556 5172 5882 6834 6896 7327 8304 8823 9112 10344 11591 11764 13668 14654 17646 18224 20688 21981 23182 23528 27336 28877 29308 34773 35292 43962 46364 47056 54672 57754 58616 69546 70584 74563 86631 87924 92728 115508 117232 139092 141168 149126 173262 175848 185456 197047 223689 231016 278184 298252 346524 351696 394094 447378 462032 490909 556368 591141 596504 693048 788188 894756 981818 1182282 1193008 1267571 1386096 1472727 1576376 1789512 1963636 2364564 2535142 2945454 3152752 3579024 3802713 3927272 4729128 4995721 5070284 5890908 7605426 7854544 9458256 9991442 10140568 11781816 14987163 15210852 19982884 20281136 23563632 29974326 30421704 39965768 59948652 60843408 79931536 84927257 119897304 169854514 239794608 254781771 339709028 509563542 679418056 1019127084 1358836112 2038254168 4076508336