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2740008948 = 2238322712119
BaseRepresentation
bin1010001101010001…
…0011011111110100
321001221210212122220
42203110103133310
521102420241243
61131515522340
7124620456165
oct24324233764
97057725586
102740008948
111186733306
126457593b0
13348884391
141bdc8976c
15110839783
hexa35137f4

2740008948 has 48 divisors (see below), whose sum is σ = 6499422720. Its totient is φ = 898283104.

The previous prime is 2740008941. The next prime is 2740008979. The reversal of 2740008948 is 8498000472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2740008941) 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 15 ways as a sum of consecutive naturals, for example, 220033 + ... + 232151.

It is an arithmetic number, because the mean of its divisors is an integer number (135404640).

Almost surely, 22740008948 is an apocalyptic number.

It is an amenable number.

2740008948 is an abundant number, since it is smaller than the sum of its proper divisors (3759413772).

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

2740008948 is a wasteful number, since it uses less digits than its factorization.

2740008948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12436 (or 12434 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2740008948 is about 52345.0947845163. The cubic root of 2740008948 is about 1399.3209203208.

The spelling of 2740008948 in words is "two billion, seven hundred forty million, eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 83 166 227 249 332 454 498 681 908 996 1362 2724 12119 18841 24238 36357 37682 48476 56523 72714 75364 113046 145428 226092 1005877 2011754 2751013 3017631 4023508 5502026 6035262 8253039 11004052 12070524 16506078 33012156 228334079 456668158 685002237 913336316 1370004474 2740008948