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2039708256 = 253472571759
BaseRepresentation
bin111100110010011…
…0111101001100000
312021011001220201020
41321210313221200
513134131131011
6534222005440
7101355143205
oct17144675140
95234056636
102039708256
119573a9003
1248b116880
1326676b181
14154c73cac
15be108006
hex79937a60

2039708256 has 96 divisors (see below), whose sum is σ = 5492551680. Its totient is φ = 662470656.

The previous prime is 2039708219. The next prime is 2039708309. The reversal of 2039708256 is 6528079302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1158705 + ... + 1160463.

It is an arithmetic number, because the mean of its divisors is an integer number (57214080).

Almost surely, 22039708256 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 2039708256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746275840).

2039708256 is an abundant number, since it is smaller than the sum of its proper divisors (3452843424).

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

2039708256 is a wasteful number, since it uses less digits than its factorization.

2039708256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2039708256 is about 45163.1293867022. The cubic root of 2039708256 is about 1268.2046792493.

It can be divided in two parts, 203970 and 8256, that added together give a triangular number (212226 = T651).

The spelling of 2039708256 in words is "two billion, thirty-nine million, seven hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 257 282 376 514 564 752 771 1028 1128 1504 1542 1759 2056 2256 3084 3518 4112 4512 5277 6168 7036 8224 10554 12079 12336 14072 21108 24158 24672 28144 36237 42216 48316 56288 72474 82673 84432 96632 144948 165346 168864 193264 248019 289896 330692 386528 452063 496038 579792 661384 904126 992076 1159584 1322768 1356189 1808252 1984152 2645536 2712378 3616504 3968304 5424756 7233008 7936608 10849512 14466016 21246961 21699024 42493922 43398048 63740883 84987844 127481766 169975688 254963532 339951376 509927064 679902752 1019854128 2039708256