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2556052848 = 24355031307
BaseRepresentation
bin1001100001011010…
…0100010101110000
320121010122221100000
42120112210111300
520213322142343
61101345030000
7120225043056
oct23026442560
96533587300
102556052848
1110a1909378
125b4025300
1331972690b
141a36821d6
15ee5eded3
hex985a4570

2556052848 has 120 divisors (see below), whose sum is σ = 7438773888. Its totient is φ = 849673152.

The previous prime is 2556052847. The next prime is 2556052861. The reversal of 2556052848 is 8482506552.

It is a happy number.

2556052848 is a `hidden beast` number, since 2 + 5 + 560 + 5 + 2 + 84 + 8 = 666.

It is a super-2 number, since 2×25560528482 = 13066812323537822208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556052847) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1955011 + ... + 1956317.

Almost surely, 22556052848 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 2556052848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719386944).

2556052848 is an abundant number, since it is smaller than the sum of its proper divisors (4882721040).

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

2556052848 is a wasteful number, since it uses less digits than its factorization.

2556052848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 2556052848 is about 50557.4212949988. The cubic root of 2556052848 is about 1367.2773191237.

The spelling of 2556052848 in words is "two billion, five hundred fifty-six million, fifty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 503 648 972 1006 1296 1307 1509 1944 2012 2614 3018 3888 3921 4024 4527 5228 6036 7842 8048 9054 10456 11763 12072 13581 15684 18108 20912 23526 24144 27162 31368 35289 36216 40743 47052 54324 62736 70578 72432 81486 94104 105867 108648 122229 141156 162972 188208 211734 217296 244458 282312 317601 325944 423468 488916 564624 635202 651888 657421 846936 977832 1270404 1314842 1693872 1955664 1972263 2540808 2629684 3944526 5081616 5259368 5916789 7889052 10518736 11833578 15778104 17750367 23667156 31556208 35500734 47334312 53251101 71001468 94668624 106502202 142002936 159753303 213004404 284005872 319506606 426008808 639013212 852017616 1278026424 2556052848