Search a number
-
+
2054352768 = 27313411529
BaseRepresentation
bin111101001110010…
…1110111110000000
312022011121221012120
41322130232332000
513201403242033
6535503524240
7101623465446
oct17234567600
95264557176
102054352768
119646a0706
12493bb9680
132697c7a70
14156ba6b96
15c054c1b3
hex7a72ef80

2054352768 has 64 divisors (see below), whose sum is σ = 5876648400. Its totient is φ = 632107008.

The previous prime is 2054352763. The next prime is 2054352793. The reversal of 2054352768 is 8672534502.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×20543527683 (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 (2054352763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 200773 + ... + 210756.

Almost surely, 22054352768 is an apocalyptic number.

It is an amenable number.

2054352768 is an abundant number, since it is smaller than the sum of its proper divisors (3822295632).

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

2054352768 is a wasteful number, since it uses less digits than its factorization.

2054352768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411559 (or 411547 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 2054352768 is about 45324.9684831661. The cubic root of 2054352768 is about 1271.2325579142.

The spelling of 2054352768 in words is "two billion, fifty-four million, three hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 411529 823058 1234587 1646116 2469174 3292232 4938348 5349877 6584464 9876696 10699754 13168928 16049631 19753392 21399508 26337856 32099262 39506784 42799016 52675712 64198524 79013568 85598032 128397048 158027136 171196064 256794096 342392128 513588192 684784256 1027176384 2054352768