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2830549568 = 26711613937
BaseRepresentation
bin1010100010110110…
…1100001001000000
321022021011211001012
42220231230021000
521244110041233
61144512300052
7130100163050
oct25055541100
97267154035
102830549568
111222853870
1266bb41628
13361565402
141cbcd7560
15118771548
hexa8b6c240

2830549568 has 112 divisors (see below), whose sum is σ = 7021762944. Its totient is φ = 1099837440.

The previous prime is 2830549549. The next prime is 2830549571. The reversal of 2830549568 is 8659450382.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

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, 3020396 + ... + 3021332.

It is an arithmetic number, because the mean of its divisors is an integer number (62694312).

Almost surely, 22830549568 is an apocalyptic number.

2830549568 is a gapful number since it is divisible by the number (28) 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 2830549568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510881472).

2830549568 is an abundant number, since it is smaller than the sum of its proper divisors (4191213376).

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

2830549568 is a wasteful number, since it uses less digits than its factorization.

2830549568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 50.

The square root of 2830549568 is about 53202.9093941299. The cubic root of 2830549568 is about 1414.5672144703.

The spelling of 2830549568 in words is "two billion, eight hundred thirty million, five hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 613 616 704 937 1226 1232 1874 2452 2464 3748 4291 4904 4928 6559 6743 7496 8582 9808 10307 13118 13486 14992 17164 19616 20614 26236 26972 29984 34328 39232 41228 47201 52472 53944 59968 68656 72149 82456 94402 104944 107888 137312 144298 164912 188804 209888 215776 274624 288596 329824 377608 419776 431552 574381 577192 659648 755216 1148762 1154384 1510432 2297524 2308768 3020864 4020667 4595048 4617536 6318191 8041334 9190096 12636382 16082668 18380192 25272764 32165336 36760384 44227337 50545528 64330672 88454674 101091056 128661344 176909348 202182112 257322688 353818696 404364224 707637392 1415274784 2830549568