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6049684432 = 2411229277389
BaseRepresentation
bin1011010001001011…
…01101101111010000
3120121121112210220101
411220211231233100
544342204400212
62440145422144
7302626316641
oct55045555720
916547483811
106049684432
112624986500
12120a03a954
1375547363c
144156636c8
1525619e157
hex16896dbd0

6049684432 has 120 divisors (see below), whose sum is σ = 13410469800. Its totient is φ = 2638648320.

The previous prime is 6049684429. The next prime is 6049684471. The reversal of 6049684432 is 2344869406.

It can be written as a sum of positive squares in 4 ways, for example, as 45914176 + 6003770256 = 6776^2 + 77484^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15551694 + ... + 15552082.

It is an arithmetic number, because the mean of its divisors is an integer number (111753915).

Almost surely, 26049684432 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 6049684432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705234900).

6049684432 is an abundant number, since it is smaller than the sum of its proper divisors (7360785368).

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

6049684432 is a wasteful number, since it uses less digits than its factorization.

6049684432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The square root of 6049684432 is about 77779.7173561334. The cubic root of 6049684432 is about 1822.1225118574.

The spelling of 6049684432 in words is "six billion, forty-nine million, six hundred eighty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 242 277 319 389 464 484 554 638 778 968 1108 1276 1556 1936 2216 2552 3047 3112 3509 4279 4432 5104 6094 6224 7018 8033 8558 11281 12188 14036 16066 17116 22562 24376 28072 32132 33517 34232 45124 47069 48752 56144 64264 67034 68464 88363 90248 94138 107753 124091 128528 134068 176726 180496 188276 215506 248182 268136 353452 376552 431012 496364 536272 706904 753104 862024 971993 992728 1185283 1365001 1413808 1724048 1943986 1985456 2370566 2730002 3124837 3887972 4741132 5460004 6249674 7775944 9482264 10920008 12499348 13038113 15551888 18964528 21840016 24998696 26076226 34373207 49997392 52152452 68746414 104304904 137492828 208609808 274985656 378105277 549971312 756210554 1512421108 3024842216 6049684432