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38172006 = 2331036863
BaseRepresentation
bin1001000110011…
…1010101100110
32122211100011000
42101213111212
534233001011
63442054130
7642312435
oct221472546
978740130
1038172006
111a602214
121094a346
137ba67b2
1450d911c
153540356
hex2467566

38172006 has 32 divisors (see below), whose sum is σ = 85662720. Its totient is φ = 12598632.

The previous prime is 38171999. The next prime is 38172047. The reversal of 38172006 is 60027183.

38172006 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 (27).

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 15 ways as a sum of consecutive naturals, for example, 2131 + ... + 8993.

It is an arithmetic number, because the mean of its divisors is an integer number (2676960).

Almost surely, 238172006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38172006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42831360).

38172006 is an abundant number, since it is smaller than the sum of its proper divisors (47490714).

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

38172006 is a wasteful number, since it uses less digits than its factorization.

38172006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 38172006 is about 6178.3497796742. The cubic root of 38172006 is about 336.7040403346.

Adding to 38172006 its reverse (60027183), we get a palindrome (98199189).

The spelling of 38172006 in words is "thirty-eight million, one hundred seventy-two thousand, six".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 618 927 1854 2781 5562 6863 13726 20589 41178 61767 123534 185301 370602 706889 1413778 2120667 4241334 6362001 12724002 19086003 38172006