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2543757340 = 225617926393
BaseRepresentation
bin1001011110011110…
…1010100000011100
320120021112021001211
42113213222200130
520202200213330
61100225314204
7120015403105
oct22747524034
96507467054
102543757340
1110959805a3
125aba95964
13317010277
141a1ba13ac
15ed4c0d2a
hex979ea81c

2543757340 has 48 divisors (see below), whose sum is σ = 5498398080. Its totient is φ = 988116480.

The previous prime is 2543757287. The next prime is 2543757389. The reversal of 2543757340 is 437573452.

2543757340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2543757293 and 2543757302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83184 + ... + 109576.

It is an arithmetic number, because the mean of its divisors is an integer number (114549960).

Almost surely, 22543757340 is an apocalyptic number.

2543757340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2543757340 is an abundant number, since it is smaller than the sum of its proper divisors (2954640740).

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

2543757340 is a wasteful number, since it uses less digits than its factorization.

2543757340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26542 (or 26540 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 40.

The square root of 2543757340 is about 50435.6752705860. The cubic root of 2543757340 is about 1365.0814336869.

The spelling of 2543757340 in words is "two billion, five hundred forty-three million, seven hundred fifty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 79 122 158 244 305 316 395 610 790 1220 1580 4819 9638 19276 24095 26393 48190 52786 96380 105572 131965 263930 527860 1609973 2085047 3219946 4170094 6439892 8049865 8340188 10425235 16099730 20850470 32199460 41700940 127187867 254375734 508751468 635939335 1271878670 2543757340