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4006844856 = 2332722939163
BaseRepresentation
bin1110111011010011…
…1001100110111000
3101100020120210211100
43232310321212320
531201223013411
61501332331400
7201202422300
oct35664714670
911306523740
104006844856
111776839933
12939a73b60
134bb17a121
142a0216600
15186b78456
hexeed399b8

4006844856 has 144 divisors (see below), whose sum is σ = 13059235800. Its totient is φ = 1105308288.

The previous prime is 4006844851. The next prime is 4006844857. The reversal of 4006844856 is 6584486004.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006844851) 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 35 ways as a sum of consecutive naturals, for example, 82731 + ... + 121893.

Almost surely, 24006844856 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 4006844856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6529617900).

4006844856 is an abundant number, since it is smaller than the sum of its proper divisors (9052390944).

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

4006844856 is a wasteful number, since it uses less digits than its factorization.

4006844856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39218 (or 39204 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 4006844856 is about 63299.6434113179. The cubic root of 4006844856 is about 1588.3059969474.

The spelling of 4006844856 in words is "four billion, six million, eight hundred forty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 49 56 58 63 72 84 87 98 116 126 147 168 174 196 203 232 252 261 294 348 392 406 441 504 522 588 609 696 812 882 1044 1176 1218 1421 1624 1764 1827 2088 2436 2842 3528 3654 4263 4872 5684 7308 8526 11368 12789 14616 17052 25578 34104 39163 51156 78326 102312 117489 156652 234978 274141 313304 352467 469956 548282 704934 822423 939912 1096564 1135727 1409868 1644846 1918987 2193128 2271454 2467269 2819736 3289692 3407181 3837974 4542908 4934538 5756961 6579384 6814362 7675948 7950089 9085816 9869076 10221543 11513922 13628724 15351896 15900178 17270883 19738152 20443086 23027844 23850267 27257448 31800356 34541766 40886172 46055688 47700534 55650623 63600712 69083532 71550801 81772344 95401068 111301246 138167064 143101602 166951869 190802136 222602492 286203204 333903738 445204984 500855607 572406408 667807476 1001711214 1335614952 2003422428 4006844856