Search a number
-
+
2850480468 = 22321161197599
BaseRepresentation
bin1010100111100110…
…1110000101010100
321100122200102002200
42221321232011110
521314210333333
61150503404500
7130431453453
oct25171560524
97318612080
102850480468
111233027190
12676753730
13365723244
141d0804b9a
1511a3abc13
hexa9e6e154

2850480468 has 144 divisors (see below), whose sum is σ = 8043235200. Its totient is φ = 843897600.

The previous prime is 2850480467. The next prime is 2850480469. The reversal of 2850480468 is 8640840582.

2850480468 is a `hidden beast` number, since 2 + 8 + 504 + 80 + 4 + 68 = 666.

2850480468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2850480467) and next prime (2850480469).

It is a super-3 number, since 3×28504804683 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2850480467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4758433 + ... + 4759031.

It is an arithmetic number, because the mean of its divisors is an integer number (55855800).

Almost surely, 22850480468 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 2850480468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021617600).

2850480468 is an abundant number, since it is smaller than the sum of its proper divisors (5192754732).

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

2850480468 is a wasteful number, since it uses less digits than its factorization.

2850480468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 2850480468 is about 53389.8910656315. The cubic root of 2850480468 is about 1417.8796079328.

The spelling of 2850480468 in words is "two billion, eight hundred fifty million, four hundred eighty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 197 198 244 366 394 396 549 591 599 671 732 788 1098 1182 1198 1342 1773 1797 2013 2167 2196 2364 2396 2684 3546 3594 4026 4334 5391 6039 6501 6589 7092 7188 8052 8668 10782 12017 12078 13002 13178 19503 19767 21564 24034 24156 26004 26356 36051 36539 39006 39534 48068 59301 72102 73078 78012 79068 108153 109617 118003 118602 132187 144204 146156 216306 219234 236006 237204 264374 328851 354009 396561 401929 432612 438468 472012 528748 657702 708018 793122 803858 1062027 1189683 1205787 1298033 1315404 1416036 1586244 1607716 2124054 2379366 2411574 2596066 3617361 3894099 4248108 4758732 4823148 5192132 7198183 7234722 7788198 11682297 14396366 14469444 15576396 21594549 23364594 28792732 43189098 46729188 64783647 79180013 86378196 129567294 158360026 237540039 259134588 316720052 475080078 712620117 950160156 1425240234 2850480468