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38203056 = 2433191463
BaseRepresentation
bin1001000110111…
…0111010110000
32122212220202000
42101232322300
534234444211
63442454000
7642502113
oct221567260
978786660
1038203056
111a623581
1210964300
137bb7978
14510657a
153549656
hex246eeb0

38203056 has 80 divisors (see below), whose sum is σ = 110469120. Its totient is φ = 12640320.

The previous prime is 38203051. The next prime is 38203073. The reversal of 38203056 is 65030283.

38203056 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 (27).

It is not an unprimeable number, because it can be changed into a prime (38203051) 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 15 ways as a sum of consecutive naturals, for example, 82281 + ... + 82743.

It is an arithmetic number, because the mean of its divisors is an integer number (1380864).

Almost surely, 238203056 is an apocalyptic number.

38203056 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 38203056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55234560).

38203056 is an abundant number, since it is smaller than the sum of its proper divisors (72266064).

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

38203056 is a wasteful number, since it uses less digits than its factorization.

38203056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 38203056 is about 6180.8620757949. The cubic root of 38203056 is about 336.7953098987.

The spelling of 38203056 in words is "thirty-eight million, two hundred three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 191 216 382 432 463 573 764 926 1146 1389 1528 1719 1852 2292 2778 3056 3438 3704 4167 4584 5157 5556 6876 7408 8334 9168 10314 11112 12501 13752 16668 20628 22224 25002 27504 33336 41256 50004 66672 82512 88433 100008 176866 200016 265299 353732 530598 707464 795897 1061196 1414928 1591794 2122392 2387691 3183588 4244784 4775382 6367176 9550764 12734352 19101528 38203056