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2079998448 = 243116915701
BaseRepresentation
bin111101111111010…
…0100000111110000
312100221212212110120
41323332210013300
513224434422243
6542221330240
7102354460263
oct17376440760
95327785416
102079998448
11978117690
124a0706980
13271c06b18
1415a360cda
15c2915c83
hex7bfa41f0

2079998448 has 80 divisors (see below), whose sum is σ = 5871326592. Its totient is φ = 629280000.

The previous prime is 2079998447. The next prime is 2079998461. The reversal of 2079998448 is 8448999702.

It is a Cunningham number, because it is equal to 456072-1.

It is a junction number, because it is equal to n+sod(n) for n = 2079998391 and 2079998400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079998447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361998 + ... + 367698.

Almost surely, 22079998448 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 2079998448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935663296).

2079998448 is an abundant number, since it is smaller than the sum of its proper divisors (3791328144).

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

2079998448 is a wasteful number, since it uses less digits than its factorization.

2079998448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6414 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The square root of 2079998448 is about 45606.9999890368. Note that the first 4 decimals coincide. The cubic root of 2079998448 is about 1276.5005422832.

The spelling of 2079998448 in words is "two billion, seventy-nine million, nine hundred ninety-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 691 1382 2073 2764 4146 5528 5701 7601 8292 11056 11402 15202 16584 17103 22803 22804 30404 33168 34206 45606 45608 60808 62711 68412 91212 91216 121616 125422 136824 182424 188133 250844 273648 364848 376266 501688 752532 1003376 1505064 3010128 3939391 7878782 11818173 15757564 23636346 31515128 43333301 47272692 63030256 86666602 94545384 129999903 173333204 189090768 259999806 346666408 519999612 693332816 1039999224 2079998448