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4056445818 = 234297731117
BaseRepresentation
bin1111000111001000…
…0111001101111010
3101110200220210120000
43301302013031322
531301422231233
61510303413430
7202344135435
oct36162071572
911420823500
104056445818
1117a1837867
129525b4276
134c85259c9
142a6a4881c
1518b1c4d13
hexf1c8737a

4056445818 has 80 divisors (see below), whose sum is σ = 9423465480. Its totient is φ = 1302666624.

The previous prime is 4056445777. The next prime is 4056445819. The reversal of 4056445818 is 8185446504.

It is a happy number.

4056445818 is a `hidden beast` number, since 4 + 0 + 5 + 64 + 4 + 581 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1440430209 + 2616015609 = 37953^2 + 51147^2 .

It is not an unprimeable number, because it can be changed into a prime (4056445819) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3630996 + ... + 3632112.

Almost surely, 24056445818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4056445818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711732740).

4056445818 is an abundant number, since it is smaller than the sum of its proper divisors (5367019662).

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

4056445818 is a wasteful number, since it uses less digits than its factorization.

4056445818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 4056445818 is about 63690.2333015039. The cubic root of 4056445818 is about 1594.8330479761.

The spelling of 4056445818 in words is "four billion, fifty-six million, four hundred forty-five thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 773 783 1117 1546 1566 2234 2319 2349 3351 4638 4698 6702 6957 10053 13914 20106 20871 22417 30159 32393 41742 44834 60318 62613 64786 67251 90477 97179 125226 134502 180954 194358 201753 291537 403506 583074 605259 863441 874611 1210518 1726882 1749222 1815777 2590323 2623833 3631554 5180646 5247666 7770969 15541938 23312907 25039789 46625814 50079578 69938721 75119367 139877442 150238734 225358101 450716202 676074303 1352148606 2028222909 4056445818