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38021256 = 23327213829
BaseRepresentation
bin1001000100001…
…0100010001000
32122112200100200
42101002202020
534213140011
63434532200
7641114100
oct221024210
978480320
1038021256
111a509a29
1210897060
137b52cb0
14509a200
153510856
hex2442888

38021256 has 144 divisors (see below), whose sum is σ = 129156300. Its totient is φ = 10015488.

The previous prime is 38021219. The next prime is 38021257. The reversal of 38021256 is 65212083.

It can be written as a sum of positive squares in 2 ways, for example, as 37088100 + 933156 = 6090^2 + 966^2 .

It is not an unprimeable number, because it can be changed into a prime (38021257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45450 + ... + 46278.

Almost surely, 238021256 is an apocalyptic number.

38021256 is a gapful number since it is divisible by the number (36) 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 38021256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64578150).

38021256 is an abundant number, since it is smaller than the sum of its proper divisors (91135044).

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

38021256 is a wasteful number, since it uses less digits than its factorization.

38021256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38021256 is about 6166.1378511999. The cubic root of 38021256 is about 336.2602150912.

The spelling of 38021256 in words is "thirty-eight million, twenty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 829 882 936 1092 1176 1274 1638 1658 1764 1911 2184 2487 2548 3276 3316 3528 3822 4974 5096 5733 5803 6552 6632 7461 7644 9948 10777 11466 11606 14922 15288 17409 19896 21554 22932 23212 29844 32331 34818 40621 43108 45864 46424 52227 59688 64662 69636 75439 81242 86216 96993 104454 121863 129324 139272 150878 162484 193986 208908 226317 243726 258648 301756 324968 365589 387972 417816 452634 487452 528073 603512 678951 731178 775944 905268 974904 1056146 1357902 1462356 1584219 1810536 2112292 2715804 2924712 3168438 4224584 4752657 5431608 6336876 9505314 12673752 19010628 38021256