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38202112 = 28132883
BaseRepresentation
bin1001000110111…
…0101100000000
32122212212110001
42101232230000
534234431422
63442445344
7642466264
oct221565400
978785401
1038202112
111a6228a3
1210963854
137bb7400
1451060a4
153549227
hex246eb00

38202112 has 54 divisors (see below), whose sum is σ = 82665492. Its totient is φ = 17611776.

The previous prime is 38202097. The next prime is 38202113. The reversal of 38202112 is 21120283.

It is a super-2 number, since 2×382021122 = 2918802722521088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38202112.

It is not an unprimeable number, because it can be changed into a prime (38202113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42823 + ... + 43705.

Almost surely, 238202112 is an apocalyptic number.

38202112 is a gapful number since it is divisible by the number (32) 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 38202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41332746).

38202112 is an abundant number, since it is smaller than the sum of its proper divisors (44463380).

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

38202112 is an equidigital number, since it uses as much as digits as its factorization.

38202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 38202112 is about 6180.7857105711. The cubic root of 38202112 is about 336.7925357979.

Adding to 38202112 its reverse (21120283), we get a palindrome (59322395).

The spelling of 38202112 in words is "thirty-eight million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 883 1352 1664 1766 2704 3328 3532 5408 7064 10816 11479 14128 21632 22958 28256 43264 45916 56512 91832 113024 149227 183664 226048 298454 367328 596908 734656 1193816 1469312 2387632 2938624 4775264 9550528 19101056 38202112