Search a number
-
+
2905236768 = 253714712939
BaseRepresentation
bin1010110100101010…
…0110010100100000
321111110201022121210
42231022212110200
521422220034033
61200141150120
7131665051020
oct25512462440
97443638553
102905236768
111260a26425
12690b5b340
13373b85515
141d7bb9a80
151200c5d63
hexad2a6520

2905236768 has 96 divisors (see below), whose sum is σ = 8724602880. Its totient is φ = 829221120.

The previous prime is 2905236757. The next prime is 2905236769. The reversal of 2905236768 is 8676325092.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2905236769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 987043 + ... + 989981.

It is an arithmetic number, because the mean of its divisors is an integer number (90881280).

Almost surely, 22905236768 is an apocalyptic number.

2905236768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2905236768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362301440).

2905236768 is an abundant number, since it is smaller than the sum of its proper divisors (5819366112).

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

2905236768 is a wasteful number, since it uses less digits than its factorization.

2905236768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 2905236768 is about 53900.2483111163. The cubic root of 2905236768 is about 1426.9010053627.

The spelling of 2905236768 in words is "two billion, nine hundred five million, two hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1471 2939 2942 4413 5878 5884 8817 8826 10297 11756 11768 17634 17652 20573 20594 23512 23536 30891 35268 35304 41146 41188 47024 47072 61719 61782 70536 70608 82292 82376 94048 123438 123564 141072 141216 164584 164752 246876 247128 282144 329168 329504 493752 494256 658336 987504 988512 1975008 4323269 8646538 12969807 17293076 25939614 30262883 34586152 51879228 60525766 69172304 90788649 103758456 121051532 138344608 181577298 207516912 242103064 363154596 415033824 484206128 726309192 968412256 1452618384 2905236768