[go: up one dir, main page]

Search a number
-
+
3863628912 = 24311133891447
BaseRepresentation
bin1110011001001010…
…0100110001110000
3100222021002200111010
43212102210301300
530403042111122
61435214550520
7164513206143
oct34622446160
910867080433
103863628912
111702a10650
128b9b08440
134975b5070
142891b605a
151792d8e0c
hexe64a4c70

3863628912 has 160 divisors (see below), whose sum is σ = 11764247040. Its totient is φ = 1077212160.

The previous prime is 3863628893. The next prime is 3863628959. The reversal of 3863628912 is 2198263683.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2669373 + ... + 2670819.

It is an arithmetic number, because the mean of its divisors is an integer number (73526544).

Almost surely, 23863628912 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 3863628912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882123520).

3863628912 is an abundant number, since it is smaller than the sum of its proper divisors (7900618128).

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

3863628912 is a wasteful number, since it uses less digits than its factorization.

3863628912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1865 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 3863628912 is about 62158.0961098391. The cubic root of 3863628912 is about 1569.1524374380.

The spelling of 3863628912 in words is "three billion, eight hundred sixty-three million, six hundred twenty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 389 429 528 572 624 778 858 1144 1167 1447 1556 1716 2288 2334 2894 3112 3432 4279 4341 4668 5057 5788 6224 6864 8558 8682 9336 10114 11576 12837 15171 15917 17116 17364 18672 18811 20228 23152 25674 30342 31834 34232 34728 37622 40456 47751 51348 55627 56433 60684 63668 68464 69456 75244 80912 95502 102696 111254 112866 121368 127336 150488 166881 191004 205392 206921 222508 225732 242736 254672 300976 333762 382008 413842 445016 451464 562883 620763 667524 764016 827684 890032 902928 1125766 1241526 1335048 1655368 1688649 2251532 2483052 2670096 3310736 3377298 4503064 4966104 6191713 6754596 7317479 9006128 9932208 12383426 13509192 14634958 18575139 21952437 24766852 27018384 29269916 37150278 43904874 49533704 58539832 74300556 80492269 87809748 99067408 117079664 148601112 160984538 175619496 241476807 297202224 321969076 351238992 482953614 643938152 965907228 1287876304 1931814456 3863628912