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38090736 = 243597101
BaseRepresentation
bin1001000101001…
…1011111110000
32122200012200000
42101103133300
534222400421
63440230000
7641523465
oct221233760
978605600
1038090736
111a557152
121090b300
137b787c8
1450b766c
153526226
hex24537f0

38090736 has 120 divisors (see below), whose sum is σ = 112794864. Its totient is φ = 12441600.

The previous prime is 38090711. The next prime is 38090749. The reversal of 38090736 is 63709083.

38090736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 38090736.

It is a congruent number.

It is an unprimeable number.

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, 377086 + ... + 377186.

Almost surely, 238090736 is an apocalyptic number.

38090736 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 38090736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56397432).

38090736 is an abundant number, since it is smaller than the sum of its proper divisors (74704128).

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

38090736 is a wasteful number, since it uses less digits than its factorization.

38090736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 38090736 is about 6171.7692763097. The cubic root of 38090736 is about 336.4649176290.

The spelling of 38090736 in words is "thirty-eight million, ninety thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 97 101 108 144 162 194 202 216 243 291 303 324 388 404 432 486 582 606 648 776 808 873 909 972 1164 1212 1296 1552 1616 1746 1818 1944 2328 2424 2619 2727 3492 3636 3888 4656 4848 5238 5454 6984 7272 7857 8181 9797 10476 10908 13968 14544 15714 16362 19594 20952 21816 23571 24543 29391 31428 32724 39188 41904 43632 47142 49086 58782 62856 65448 78376 88173 94284 98172 117564 125712 130896 156752 176346 188568 196344 235128 264519 352692 377136 392688 470256 529038 705384 793557 1058076 1410768 1587114 2116152 2380671 3174228 4232304 4761342 6348456 9522684 12696912 19045368 38090736