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38509146 = 23213164569
BaseRepresentation
bin1001001011100…
…1101001011010
32200110110121200
42102321221122
534324243041
63453215030
7645215364
oct222715132
980413550
1038509146
111a812545
1210a91476
137c940a0
145185d34
1535aa1b6
hex24b9a5a

38509146 has 24 divisors (see below), whose sum is σ = 89855220. Its totient is φ = 11848896.

The previous prime is 38509139. The next prime is 38509147. The reversal of 38509146 is 64190583.

38509146 is a `hidden beast` number, since 3 + 8 + 509 + 146 = 666.

38509146 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 35533521 + 2975625 = 5961^2 + 1725^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38509146.

It is not an unprimeable number, because it can be changed into a prime (38509147) 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 11 ways as a sum of consecutive naturals, for example, 82051 + ... + 82518.

Almost surely, 238509146 is an apocalyptic number.

38509146 is an abundant number, since it is smaller than the sum of its proper divisors (51346074).

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

38509146 is a wasteful number, since it uses less digits than its factorization.

38509146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164590 (or 164587 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 38509146 is about 6205.5737849130. The cubic root of 38509146 is about 337.6924071612.

It can be divided in two parts, 3850 and 9146, that added together give a square (12996 = 1142).

The spelling of 38509146 in words is "thirty-eight million, five hundred nine thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 164569 329138 493707 987414 1481121 2139397 2962242 4278794 6418191 12836382 19254573 38509146