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38038208 = 2613131349
BaseRepresentation
bin1001000100011…
…0101011000000
32122120112121112
42101012223000
534214210313
63435142452
7641214365
oct221065300
978515545
1038038208
111a52073a
12108a4a28
137b5a920
1450a246c
1535158a8
hex2446ac0

38038208 has 56 divisors (see below), whose sum is σ = 82143600. Its totient is φ = 17372160.

The previous prime is 38038207. The next prime is 38038211. The reversal of 38038208 is 80283083.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (38038207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108818 + ... + 109166.

It is an arithmetic number, because the mean of its divisors is an integer number (1466850).

Almost surely, 238038208 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 38038208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41071800).

38038208 is an abundant number, since it is smaller than the sum of its proper divisors (44105392).

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

38038208 is a wasteful number, since it uses less digits than its factorization.

38038208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 38038208 is about 6167.5123023793. The cubic root of 38038208 is about 336.3101821956.

The spelling of 38038208 in words is "thirty-eight million, thirty-eight thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 131 208 262 349 416 524 698 832 1048 1396 1703 2096 2792 3406 4192 4537 5584 6812 8384 9074 11168 13624 18148 22336 27248 36296 45719 54496 72592 91438 108992 145184 182876 290368 365752 594347 731504 1188694 1463008 2377388 2926016 4754776 9509552 19019104 38038208