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2563291240 = 23564082281
BaseRepresentation
bin1001100011001000…
…1011100001101000
320121122021200112121
42120302023201220
520222200304430
61102204121024
7120343421206
oct23062134150
96548250477
102563291240
1110a5a02714
125b6536174
1331b08c4a3
141a4608076
1510007da7a
hex98c8b868

2563291240 has 16 divisors (see below), whose sum is σ = 5767405380. Its totient is φ = 1025316480.

The previous prime is 2563291231. The next prime is 2563291261. The reversal of 2563291240 is 421923652.

It can be written as a sum of positive squares in 2 ways, for example, as 2448072484 + 115218756 = 49478^2 + 10734^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2563291196 and 2563291205.

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 3 ways as a sum of consecutive naturals, for example, 32041101 + ... + 32041180.

Almost surely, 22563291240 is an apocalyptic number.

2563291240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2563291240 is an abundant number, since it is smaller than the sum of its proper divisors (3204114140).

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

2563291240 is a wasteful number, since it uses less digits than its factorization.

2563291240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64082292 (or 64082288 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 2563291240 is about 50628.9565367488. The cubic root of 2563291240 is about 1368.5667501663.

The spelling of 2563291240 in words is "two billion, five hundred sixty-three million, two hundred ninety-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 64082281 128164562 256329124 320411405 512658248 640822810 1281645620 2563291240