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2896506405 = 335131918641
BaseRepresentation
bin1010110010100101…
…0010111000100101
321110212021202211000
42230221102320211
521413001201110
61155230103513
7131530620042
oct25451227045
97425252730
102896506405
111257003151
1268a04ab99
13372119820
141d69861c9
1511e44e1c0
hexaca52e25

2896506405 has 64 divisors (see below), whose sum is σ = 5575127040. Its totient is φ = 1418342400.

The previous prime is 2896506397. The next prime is 2896506407. The reversal of 2896506405 is 5046056982.

It is not a de Polignac number, because 2896506405 - 23 = 2896506397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2896506407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330885 + ... + 339525.

It is an arithmetic number, because the mean of its divisors is an integer number (87111360).

Almost surely, 22896506405 is an apocalyptic number.

It is an amenable number.

2896506405 is a deficient number, since it is larger than the sum of its proper divisors (2678620635).

2896506405 is a wasteful number, since it uses less digits than its factorization.

2896506405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8859 (or 8853 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2896506405 is about 53819.2010810268. The cubic root of 2896506405 is about 1425.4702713791.

The spelling of 2896506405 in words is "two billion, eight hundred ninety-six million, five hundred six thousand, four hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 191 195 351 573 585 955 1719 1755 2483 2865 5157 7449 8595 8641 12415 22347 25785 25923 37245 43205 67041 77769 111735 112333 129615 233307 335205 336999 388845 561665 1010997 1166535 1650431 1684995 3032991 4951293 5054985 8252155 14853879 15164955 21455603 24756465 44561637 64366809 74269395 107278015 193100427 222808185 321834045 579301281 965502135 2896506405