Search a number
-
+
2754324864 = 2733796969
BaseRepresentation
bin1010010000101011…
…1010100110000000
321002221202012102000
42210022322212000
521120101343424
61133150424000
7125153242434
oct24412724600
97087665360
102754324864
111193821045
1264a502000
1334b827535
141c1b349c4
15111c163c9
hexa42ba980

2754324864 has 64 divisors (see below), whose sum is σ = 8129094000. Its totient is φ = 918107136.

The previous prime is 2754324863. The next prime is 2754324889. The reversal of 2754324864 is 4684234572.

It is a happy number.

2754324864 is a `hidden beast` number, since 2 + 7 + 543 + 2 + 48 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2754324863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395029 + ... + 401940.

Almost surely, 22754324864 is an apocalyptic number.

2754324864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2754324864 is an abundant number, since it is smaller than the sum of its proper divisors (5374769136).

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

2754324864 is an equidigital number, since it uses as much as digits as its factorization.

2754324864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796992 (or 796974 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 2754324864 is about 52481.6621687995. The cubic root of 2754324864 is about 1401.7537314957.

The spelling of 2754324864 in words is "two billion, seven hundred fifty-four million, three hundred twenty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 796969 1593938 2390907 3187876 4781814 6375752 7172721 9563628 12751504 14345442 19127256 21518163 25503008 28690884 38254512 43036326 51006016 57381768 76509024 86072652 102012032 114763536 153018048 172145304 229527072 306036096 344290608 459054144 688581216 918108288 1377162432 2754324864