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2905438640 = 245132793691
BaseRepresentation
bin1010110100101101…
…0111100110110000
321111111002120112112
42231023113212300
521422243014030
61200145344452
7131666551406
oct25513274660
97444076475
102905438640
111261054065
12691038128
13373c26380
141d7c2d476
15120115a95
hexad2d79b0

2905438640 has 40 divisors (see below), whose sum is σ = 7274773968. Its totient is φ = 1072776960.

The previous prime is 2905438609. The next prime is 2905438643. The reversal of 2905438640 is 468345092.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2905438643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1395806 + ... + 1397885.

Almost surely, 22905438640 is an apocalyptic number.

2905438640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2905438640 is an abundant number, since it is smaller than the sum of its proper divisors (4369335328).

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

2905438640 is a wasteful number, since it uses less digits than its factorization.

2905438640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793717 (or 2793711 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 2905438640 is about 53902.1209230212. The cubic root of 2905438640 is about 1426.9340542684.

The spelling of 2905438640 in words is "two billion, nine hundred five million, four hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2793691 5587382 11174764 13968455 22349528 27936910 36317983 44699056 55873820 72635966 111747640 145271932 181589915 223495280 290543864 363179830 581087728 726359660 1452719320 2905438640