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8044056984 = 2332367263827
BaseRepresentation
bin1110111110111011…
…01001000110011000
3202202121022102201110
413133131221012120
5112433234310414
63410112020320
7403224233115
oct73735510630
922677272643
108044056984
11345872a087
121685b316a0
139b26ca442
1456449590c
153212ee459
hex1df769198

8044056984 has 128 divisors (see below), whose sum is σ = 21404528640. Its totient is φ = 2513841792.

The previous prime is 8044056931. The next prime is 8044057013. The reversal of 8044056984 is 4896504408.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9726379 + ... + 9727205.

It is an arithmetic number, because the mean of its divisors is an integer number (167222880).

Almost surely, 28044056984 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 8044056984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702264320).

8044056984 is an abundant number, since it is smaller than the sum of its proper divisors (13360471656).

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

8044056984 is a wasteful number, since it uses less digits than its factorization.

8044056984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 8044056984 is about 89688.6669763800. Note that the first 3 decimals coincide. The cubic root of 8044056984 is about 2003.6646962327.

The spelling of 8044056984 in words is "eight billion, forty-four million, fifty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 67 69 92 134 138 184 201 263 268 276 402 526 536 552 789 804 827 1052 1541 1578 1608 1654 2104 2481 3082 3156 3308 4623 4962 6049 6164 6312 6616 9246 9924 12098 12328 17621 18147 18492 19021 19848 24196 35242 36294 36984 38042 48392 52863 55409 57063 70484 72588 76084 105726 110818 114126 140968 145176 152168 166227 211452 217501 221636 228252 332454 405283 422904 435002 443272 456504 652503 664908 810566 870004 1215849 1274407 1305006 1329816 1621132 1740008 2431698 2548814 2610012 3242264 3823221 4863396 5002523 5097628 5220024 7646442 9726792 10005046 10195256 14572567 15007569 15292884 20010092 29145134 30015138 30585768 40020184 43717701 58290268 60030276 87435402 116580536 120060552 174870804 335169041 349741608 670338082 1005507123 1340676164 2011014246 2681352328 4022028492 8044056984