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2825208448 = 2783431617
BaseRepresentation
bin1010100001100101…
…0100001010000000
321021220010110101221
42220121110022000
521241223132243
61144202004424
7130003606216
oct25031241200
97256113357
102825208448
11121a835a17
1266a1a6714
1336041529a
141cb306cb6
15118068bed
hexa8654280

2825208448 has 64 divisors (see below), whose sum is σ = 5718625920. Its totient is φ = 1390090240.

The previous prime is 2825208433. The next prime is 2825208511. The reversal of 2825208448 is 8448025282.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4578636 + ... + 4579252.

It is an arithmetic number, because the mean of its divisors is an integer number (89353530).

Almost surely, 22825208448 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 2825208448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859312960).

2825208448 is an abundant number, since it is smaller than the sum of its proper divisors (2893417472).

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

2825208448 is an equidigital number, since it uses as much as digits as its factorization.

2825208448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 43.

The square root of 2825208448 is about 53152.6899413379. The cubic root of 2825208448 is about 1413.6769126327.

The spelling of 2825208448 in words is "two billion, eight hundred twenty-five million, two hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 431 617 664 862 1234 1328 1724 2468 2656 3448 4936 5312 6896 9872 10624 13792 19744 27584 35773 39488 51211 55168 71546 78976 102422 143092 204844 265927 286184 409688 531854 572368 819376 1063708 1144736 1638752 2127416 2289472 3277504 4254832 4578944 6555008 8509664 17019328 22071941 34038656 44143882 88287764 176575528 353151056 706302112 1412604224 2825208448