Search a number
-
+
4045221936 = 2432726315259
BaseRepresentation
bin1111000100011101…
…0011000000110000
3101102220210120021200
43301013103000300
531241034100221
61505223051200
7202146550650
oct36107230060
911386716250
104045221936
111796471128
1294a8a0b00
134c60c6062
142a5366360
1518a209426
hexf11d3030

4045221936 has 120 divisors (see below), whose sum is σ = 12988335360. Its totient is φ = 1151307648.

The previous prime is 4045221889. The next prime is 4045221937. The reversal of 4045221936 is 6391225404.

It is a happy number.

4045221936 is a `hidden beast` number, since 40 + 4 + 522 + 1 + 93 + 6 = 666.

It is a super-2 number, since 2×40452219362 = 32727641022991176192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4045221936.

It is not an unprimeable number, because it can be changed into a prime (4045221937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257475 + ... + 272733.

It is an arithmetic number, because the mean of its divisors is an integer number (108236128).

Almost surely, 24045221936 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 4045221936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6494167680).

4045221936 is an abundant number, since it is smaller than the sum of its proper divisors (8943113424).

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

4045221936 is a wasteful number, since it uses less digits than its factorization.

4045221936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15543 (or 15534 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4045221936 is about 63602.0592119469. The cubic root of 4045221936 is about 1593.3607613415.

The spelling of 4045221936 in words is "four billion, forty-five million, two hundred twenty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 263 336 504 526 789 1008 1052 1578 1841 2104 2367 3156 3682 4208 4734 5523 6312 7364 9468 11046 12624 14728 15259 16569 18936 22092 29456 30518 33138 37872 44184 45777 61036 66276 88368 91554 106813 122072 132552 137331 183108 213626 244144 265104 274662 320439 366216 427252 549324 640878 732432 854504 961317 1098648 1281756 1709008 1922634 2197296 2563512 3845268 4013117 5127024 7690536 8026234 12039351 15381072 16052468 24078702 28091819 32104936 36118053 48157404 56183638 64209872 72236106 84275457 96314808 112367276 144472212 168550914 192629616 224734552 252826371 288944424 337101828 449469104 505652742 577888848 674203656 1011305484 1348407312 2022610968 4045221936