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38007189 = 32112172053
BaseRepresentation
bin1001000011111…
…1000110010101
32122111222001200
42100333012111
534212212224
63434343113
7641025063
oct220770625
978458050
1038007189
111a4aa400
121088aa99
137b4977c
145095033
15350b5c9
hex243f195

38007189 has 36 divisors (see below), whose sum is σ = 63924588. Its totient is φ = 21669120.

The previous prime is 38007133. The next prime is 38007191. The reversal of 38007189 is 98170083.

38007189 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 24830289 + 13176900 = 4983^2 + 3630^2 .

It is not a de Polignac number, because 38007189 - 27 = 38007061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38007989) 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 35 ways as a sum of consecutive naturals, for example, 17487 + ... + 19539.

It is an arithmetic number, because the mean of its divisors is an integer number (1775683).

Almost surely, 238007189 is an apocalyptic number.

It is an amenable number.

38007189 is a deficient number, since it is larger than the sum of its proper divisors (25917399).

38007189 is a wasteful number, since it uses less digits than its factorization.

38007189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 38007189 is about 6164.9970802913. The cubic root of 38007189 is about 336.2187404318.

Adding to 38007189 its sum of digits (36), we get a square (38007225 = 61652).

The spelling of 38007189 in words is "thirty-eight million, seven thousand, one hundred eighty-nine".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 363 561 1089 1683 2053 2057 6159 6171 18477 18513 22583 34901 67749 104703 203247 248413 314109 383911 745239 1151733 2235717 3455199 4223021 12669063 38007189