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2545562340 = 2232514142013
BaseRepresentation
bin1001011110111010…
…0011001011100100
320120101220222001200
42113232203023210
520203130443330
61100332122500
7120036631356
oct22756431344
96511828050
102545562340
1110969a3732
125b0606430
133174c2a09
141a21110d6
15ed72aa60
hex97ba32e4

2545562340 has 36 divisors (see below), whose sum is σ = 7721539644. Its totient is φ = 678816576.

The previous prime is 2545562323. The next prime is 2545562351. The reversal of 2545562340 is 432655452.

2545562340 is a `hidden beast` number, since 2 + 54 + 5 + 562 + 3 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1108090944 + 1437471396 = 33288^2 + 37914^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2545562295 and 2545562304.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7070827 + ... + 7071186.

Almost surely, 22545562340 is an apocalyptic number.

2545562340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2545562340 is an abundant number, since it is smaller than the sum of its proper divisors (5175977304).

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

2545562340 is a wasteful number, since it uses less digits than its factorization.

2545562340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14142028 (or 14142023 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 2545562340 is about 50453.5661772287. The cubic root of 2545562340 is about 1365.4042356281.

The spelling of 2545562340 in words is "two billion, five hundred forty-five million, five hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 14142013 28284026 42426039 56568052 70710065 84852078 127278117 141420130 169704156 212130195 254556234 282840260 424260390 509112468 636390585 848520780 1272781170 2545562340