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4084062048 = 2532111775833
BaseRepresentation
bin1111001101101101…
…1101011101100000
3101112121212211220100
43303123131131200
531331004441143
61513131342400
7203130645303
oct36333353540
911477784810
104084062048
11180638a2a0
1295b8b1a00
13501174981
142aa596b3a
1518d82c6d3
hexf36dd760

4084062048 has 144 divisors (see below), whose sum is σ = 13415337936. Its totient is φ = 1164779520.

The previous prime is 4084062043. The next prime is 4084062049. The reversal of 4084062048 is 8402604804.

4084062048 is a `hidden beast` number, since 40 + 8 + 406 + 204 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4084062043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15940 + ... + 91772.

It is an arithmetic number, because the mean of its divisors is an integer number (93162069).

Almost surely, 24084062048 is an apocalyptic number.

4084062048 is a gapful number since it is divisible by the number (48) 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 4084062048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707668968).

4084062048 is an abundant number, since it is smaller than the sum of its proper divisors (9331275888).

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

4084062048 is a wasteful number, since it uses less digits than its factorization.

4084062048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75877 (or 75866 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4084062048 is about 63906.6666944850. Note that the first 4 decimals coincide. The cubic root of 4084062048 is about 1598.4440665766. Note that the first 3 decimals are identical.

The spelling of 4084062048 in words is "four billion, eighty-four million, sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 408 528 544 561 612 748 792 816 1056 1122 1224 1496 1584 1632 1683 2244 2448 2992 3168 3366 4488 4896 5984 6732 8976 13464 17952 26928 53856 75833 151666 227499 303332 454998 606664 682497 834163 909996 1213328 1289161 1364994 1668326 1819992 2426656 2502489 2578322 2729988 3336652 3639984 3867483 5004978 5156644 5459976 6673304 7279968 7507467 7734966 10009956 10313288 10919952 11602449 13346608 14180771 15014934 15469932 20019912 20626576 21839904 23204898 26693216 28361542 30029868 30939864 40039824 41253152 42542313 46409796 56723084 60059736 61879728 80079648 85084626 92819592 113446168 120119472 123759456 127626939 170169252 185639184 226892336 240238944 255253878 340338504 371278368 453784672 510507756 680677008 1021015512 1361354016 2042031024 4084062048