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2587255040 = 2853165203
BaseRepresentation
bin1001101000110110…
…0110000100000000
320200022101011200202
42122031212010000
520244314130130
61104421504332
7121054206416
oct23215460400
96608334622
102587255040
111108490007
126025720a8
1332302cb56
141a78852b6
15102214145
hex9a366100

2587255040 has 72 divisors (see below), whose sum is σ = 6397294848. Its totient is φ = 1001502720.

The previous prime is 2587255031. The next prime is 2587255051. The reversal of 2587255040 is 405527852.

It is a junction number, because it is equal to n+sod(n) for n = 2587254985 and 2587255003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7079 + ... + 72281.

Almost surely, 22587255040 is an apocalyptic number.

2587255040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2587255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198647424).

2587255040 is an abundant number, since it is smaller than the sum of its proper divisors (3810039808).

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

2587255040 is an equidigital number, since it uses as much as digits as its factorization.

2587255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65255 (or 65241 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 38.

The square root of 2587255040 is about 50865.0669910106. The cubic root of 2587255040 is about 1372.8183655894.

The spelling of 2587255040 in words is "two billion, five hundred eighty-seven million, two hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 620 640 992 1240 1280 1984 2480 3968 4960 7936 9920 19840 39680 65203 130406 260812 326015 521624 652030 1043248 1304060 2021293 2086496 2608120 4042586 4172992 5216240 8085172 8345984 10106465 10432480 16170344 16691968 20212930 20864960 32340688 40425860 41729920 64681376 80851720 83459840 129362752 161703440 258725504 323406880 517451008 646813760 1293627520 2587255040