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38426112 = 293231269
BaseRepresentation
bin1001001010010…
…1011000000000
32200022020201100
42102211120000
534314113422
63451334400
7644421324
oct222453000
980266640
1038426112
111a76611a
1210a51400
137c6535a
145163984
1535907ac
hex24a5600

38426112 has 120 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 12349440.

The previous prime is 38426093. The next prime is 38426117. The reversal of 38426112 is 21162483.

38426112 is a `hidden beast` number, since 3 + 8 + 42 + 611 + 2 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38426117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142714 + ... + 142982.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 238426112 is an apocalyptic number.

38426112 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 38426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).

38426112 is an abundant number, since it is smaller than the sum of its proper divisors (76477248).

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

38426112 is a wasteful number, since it uses less digits than its factorization.

38426112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 305 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 38426112 is about 6198.8798988204. The cubic root of 38426112 is about 337.4495200221.

Adding to 38426112 its reverse (21162483), we get a palindrome (59588595).

The spelling of 38426112 in words is "thirty-eight million, four hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 269 279 288 372 384 496 512 538 558 576 744 768 807 992 1076 1116 1152 1488 1536 1614 1984 2152 2232 2304 2421 2976 3228 3968 4304 4464 4608 4842 5952 6456 7936 8339 8608 8928 9684 11904 12912 15872 16678 17216 17856 19368 23808 25017 25824 33356 34432 35712 38736 47616 50034 51648 66712 68864 71424 75051 77472 100068 103296 133424 137728 142848 150102 154944 200136 206592 266848 300204 309888 400272 413184 533696 600408 619776 800544 1067392 1200816 1239552 1601088 2134784 2401632 3202176 4269568 4803264 6404352 9606528 12808704 19213056 38426112