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3025796256 = 25337271471
BaseRepresentation
bin1011010001011001…
…1111110010100000
321210212120101011000
42310112133302200
522144100440011
61220125152000
7134660562300
oct26426376240
97725511130
103025796256
111312a8a56a
127053bb600
13392b46cb2
14209bdd600
1512a98c356
hexb459fca0

3025796256 has 144 divisors (see below), whose sum is σ = 10266238080. Its totient is φ = 864501120.

The previous prime is 3025796243. The next prime is 3025796329. The reversal of 3025796256 is 6526975203.

3025796256 is a `hidden beast` number, since 302 + 5 + 7 + 96 + 256 = 666.

3025796256 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6601 + ... + 78071.

It is an arithmetic number, because the mean of its divisors is an integer number (71293320).

Almost surely, 23025796256 is an apocalyptic number.

3025796256 is a gapful number since it is divisible by the number (36) 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 3025796256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133119040).

3025796256 is an abundant number, since it is smaller than the sum of its proper divisors (7240441824).

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

3025796256 is a wasteful number, since it uses less digits than its factorization.

3025796256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71504 (or 71483 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 3025796256 is about 55007.2382146204. The cubic root of 3025796256 is about 1446.3716267325.

The spelling of 3025796256 in words is "three billion, twenty-five million, seven hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 71471 142942 214413 285884 428826 500297 571768 643239 857652 1000594 1143536 1286478 1500891 1715304 1929717 2001188 2287072 2572956 3001782 3430608 3502079 3859434 4002376 4502673 5145912 6003564 6861216 7004158 7718868 8004752 9005346 10291824 10506237 12007128 13508019 14008316 15437736 16009504 18010692 20583648 21012474 24014256 27016038 28016632 30875472 31518711 36021384 42024948 48028512 54032076 56033264 61750944 63037422 72042768 84049896 94556133 108064152 112066528 126074844 144085536 168099792 189112266 216128304 252149688 336199584 378224532 432256608 504299376 756449064 1008598752 1512898128 3025796256