Search a number
-
+
2731081248 = 25327327647
BaseRepresentation
bin1010001011001000…
…1111111000100000
321001100000022011100
42202302033320200
521043124044443
61131000314400
7124451544000
oct24262177040
97040008140
102731081248
111181695845
12642772a00
13346a7990c
141bca04000
1510eb743d3
hexa2c8fe20

2731081248 has 144 divisors (see below), whose sum is σ = 9057484800. Its totient is φ = 780280704.

The previous prime is 2731081247. The next prime is 2731081273. The reversal of 2731081248 is 8421801372.

2731081248 is a `hidden beast` number, since 27 + 310 + 81 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (2731081247) 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, 84961 + ... + 112607.

It is an arithmetic number, because the mean of its divisors is an integer number (62899200).

Almost surely, 22731081248 is an apocalyptic number.

2731081248 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 2731081248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528742400).

2731081248 is an abundant number, since it is smaller than the sum of its proper divisors (6326403552).

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

2731081248 is a wasteful number, since it uses less digits than its factorization.

2731081248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27684 (or 27659 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2731081248 is about 52259.7478753964. The cubic root of 2731081248 is about 1397.7994763567.

The spelling of 2731081248 in words is "two billion, seven hundred thirty-one million, eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 343 392 441 504 588 672 686 784 882 1008 1029 1176 1372 1568 1764 2016 2058 2352 2744 3087 3528 4116 4704 5488 6174 7056 8232 10976 12348 14112 16464 24696 27647 32928 49392 55294 82941 98784 110588 165882 193529 221176 248823 331764 387058 442352 497646 580587 663528 774116 884704 995292 1161174 1327056 1354703 1548232 1741761 1990584 2322348 2654112 2709406 3096464 3483522 3981168 4064109 4644696 5418812 6192928 6967044 7962336 8128218 9289392 9482921 10837624 12192327 13934088 16256436 18578784 18965842 21675248 24384654 27868176 28448763 32512872 37931684 43350496 48769308 55736352 56897526 65025744 75863368 85346289 97538616 113795052 130051488 151726736 170692578 195077232 227590104 303453472 341385156 390154464 455180208 682770312 910360416 1365540624 2731081248