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2581371904 = 2106074153
BaseRepresentation
bin1001100111011100…
…1001110000000000
320122220022021112211
42121313021300000
520241312400104
61104051431504
7120653204416
oct23167116000
96586267484
102581371904
111105131a11
126005b5594
13321a500c7
141a6b932b6
15101950e04
hex99dc9c00

2581371904 has 44 divisors (see below), whose sum is σ = 5169968704. Its totient is φ = 1288249344.

The previous prime is 2581371883. The next prime is 2581371917. The reversal of 2581371904 is 4091731852.

It is a congruent number.

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, 619492 + ... + 623644.

Almost surely, 22581371904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2581371904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584984352).

2581371904 is an abundant number, since it is smaller than the sum of its proper divisors (2588596800).

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

2581371904 is an equidigital number, since it uses as much as digits as its factorization.

2581371904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 2581371904 is about 50807.2032688279. The cubic root of 2581371904 is about 1371.7770294443. Note that the first 3 decimals are identical.

The spelling of 2581371904 in words is "two billion, five hundred eighty-one million, three hundred seventy-one thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 607 1024 1214 2428 4153 4856 8306 9712 16612 19424 33224 38848 66448 77696 132896 155392 265792 310784 531584 621568 1063168 2126336 2520871 4252672 5041742 10083484 20166968 40333936 80667872 161335744 322671488 645342976 1290685952 2581371904