Search a number
-
+
2733264072 = 2332711493013
BaseRepresentation
bin1010001011101010…
…0100110011001000
321001111010012102200
42202322210303020
521044203422242
61131115200200
7124506234630
oct24272446310
97044105380
102733264072
111182946830
12643446060
13347362326
141bd0116c0
1510ee5604c
hexa2ea4cc8

2733264072 has 96 divisors (see below), whose sum is σ = 9229222080. Its totient is φ = 709937280.

The previous prime is 2733264071. The next prime is 2733264101. The reversal of 2733264072 is 2704623372.

2733264072 is a `hidden beast` number, since 2 + 7 + 3 + 3 + 2 + 640 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2733264071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240963 + ... + 252050.

It is an arithmetic number, because the mean of its divisors is an integer number (96137730).

Almost surely, 22733264072 is an apocalyptic number.

2733264072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2733264072 is an abundant number, since it is smaller than the sum of its proper divisors (6495958008).

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

2733264072 is a wasteful number, since it uses less digits than its factorization.

2733264072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493043 (or 493036 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 2733264072 is about 52280.6280757988. The cubic root of 2733264072 is about 1398.1717755120.

The spelling of 2733264072 in words is "two billion, seven hundred thirty-three million, two hundred sixty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 493013 986026 1479039 1972052 2958078 3451091 3944104 4437117 5423143 5916156 6902182 8874234 10353273 10846286 11832312 13804364 16269429 17748468 20706546 21692572 27608728 31059819 32538858 35496936 37962001 41413092 43385144 48808287 62119638 65077716 75924002 82826184 97616574 113886003 124239276 130155432 151848004 195233148 227772006 248478552 303696008 341658009 390466296 455544012 683316018 911088024 1366632036 2733264072