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2740945928 = 23731922767
BaseRepresentation
bin1010001101011111…
…1000010000001000
321002000120110221212
42203113320100020
521103140232203
61131551552252
7124631441000
oct24327702010
97060513855
102740945928
111187213276
12645b2b688
13348b219c6
141c0051000
151109721d8
hexa35f8408

2740945928 has 96 divisors (see below), whose sum is σ = 6327648000. Its totient is φ = 1112463072.

The previous prime is 2740945901. The next prime is 2740945939. The reversal of 2740945928 is 8295490472.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 989201 + ... + 991967.

It is an arithmetic number, because the mean of its divisors is an integer number (65913000).

Almost surely, 22740945928 is an apocalyptic number.

2740945928 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 2740945928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163824000).

2740945928 is an abundant number, since it is smaller than the sum of its proper divisors (3586702072).

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

2740945928 is a wasteful number, since it uses less digits than its factorization.

2740945928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The square root of 2740945928 is about 52354.0440462817. The cubic root of 2740945928 is about 1399.4804071834.

It can be divided in two parts, 27409 and 45928, that added together give a palindrome (73337).

The spelling of 2740945928 in words is "two billion, seven hundred forty million, nine hundred forty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 343 361 392 532 686 722 931 1064 1372 1444 1862 2527 2744 2767 2888 3724 5054 5534 6517 7448 10108 11068 13034 17689 19369 20216 22136 26068 35378 38738 52136 52573 70756 77476 105146 123823 135583 141512 154952 210292 247646 271166 368011 420584 495292 542332 736022 949081 990584 998887 1084664 1472044 1898162 1997774 2576077 2944088 3796324 3995548 5152154 6992209 7592648 7991096 10304308 13984418 18032539 20608616 27968836 36065078 48945463 55937672 72130156 97890926 144260312 195781852 342618241 391563704 685236482 1370472964 2740945928