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38106068 = 227111331307
BaseRepresentation
bin1001000101011…
…1001111010100
32122200222200212
42101113033110
534223343233
63440424552
7641616260
oct221271724
978628625
1038106068
111a567720
1210918158
137b82790
1450bd0a0
15352aa48
hex24573d4

38106068 has 96 divisors (see below), whose sum is σ = 92725248. Its totient is φ = 13219200.

The previous prime is 38106043. The next prime is 38106071. The reversal of 38106068 is 86060183.

38106068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 123971 + ... + 124277.

It is an arithmetic number, because the mean of its divisors is an integer number (965888).

Almost surely, 238106068 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 38106068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46362624).

38106068 is an abundant number, since it is smaller than the sum of its proper divisors (54619180).

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

38106068 is a wasteful number, since it uses less digits than its factorization.

38106068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 38106068 is about 6173.0112586970. The cubic root of 38106068 is about 336.5100553595.

The spelling of 38106068 in words is "thirty-eight million, one hundred six thousand, sixty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 31 44 52 62 77 91 124 143 154 182 217 286 307 308 341 364 403 434 572 614 682 806 868 1001 1228 1364 1612 2002 2149 2387 2821 3377 3991 4004 4298 4433 4774 5642 6754 7982 8596 8866 9517 9548 11284 13508 15964 17732 19034 23639 27937 31031 38068 43901 47278 55874 62062 66619 87802 94556 104687 111748 123721 124124 133238 175604 209374 247442 266476 307307 418748 494884 614614 732809 866047 1229228 1360931 1465618 1732094 2721862 2931236 3464188 5443724 9526517 19053034 38106068