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38068056 = 2334134519
BaseRepresentation
bin1001000100110…
…1111101011000
32122122001120000
42101031331120
534221134211
63435533000
7641400405
oct221157530
978561500
1038068056
111a541104
12108ba160
137b6b3a0
1450ad2ac
15351e656
hex244df58

38068056 has 80 divisors (see below), whose sum is σ = 114853200. Its totient is φ = 11710656.

The previous prime is 38068027. The next prime is 38068057. The reversal of 38068056 is 65086083.

38068056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38068056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38068057) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 6165 + ... + 10683.

It is an arithmetic number, because the mean of its divisors is an integer number (1435665).

Almost surely, 238068056 is an apocalyptic number.

38068056 is a gapful number since it is divisible by the number (36) 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 38068056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57426600).

38068056 is an abundant number, since it is smaller than the sum of its proper divisors (76785144).

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

38068056 is a wasteful number, since it uses less digits than its factorization.

38068056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 38068056 is about 6169.9316041590. The cubic root of 38068056 is about 336.3981250158.

The spelling of 38068056 in words is "thirty-eight million, sixty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 4519 8424 9038 13557 18076 27114 36152 40671 54228 58747 81342 108456 117494 122013 162684 176241 234988 244026 325368 352482 366039 469976 488052 528723 704964 732078 976104 1057446 1409928 1464156 1586169 2114892 2928312 3172338 4229784 4758507 6344676 9517014 12689352 19034028 38068056