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38108256 = 253715591
BaseRepresentation
bin1001000101011…
…1110001100000
32122201002200220
42101113301200
534223431011
63440443040
7641625534
oct221276140
978632626
1038108256
111a56932a
1210919480
137b83784
1450bdbc4
15352b506
hex2457c60

38108256 has 48 divisors (see below), whose sum is σ = 101461248. Its totient is φ = 12521600.

The previous prime is 38108251. The next prime is 38108299. The reversal of 38108256 is 65280183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38108251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4021 + ... + 9611.

It is an arithmetic number, because the mean of its divisors is an integer number (2113776).

Almost surely, 238108256 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 38108256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50730624).

38108256 is an abundant number, since it is smaller than the sum of its proper divisors (63352992).

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

38108256 is a wasteful number, since it uses less digits than its factorization.

38108256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5675 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 38108256 is about 6173.1884792221. The cubic root of 38108256 is about 336.5164958902.

The spelling of 38108256 in words is "thirty-eight million, one hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 5591 6816 11182 16773 22364 33546 44728 67092 89456 134184 178912 268368 396961 536736 793922 1190883 1587844 2381766 3175688 4763532 6351376 9527064 12702752 19054128 38108256