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38506401 = 331426163
BaseRepresentation
bin1001001011100…
…0111110100001
32200110022212000
42102320332201
534324201101
63453154213
7645204363
oct222707641
980408760
1038506401
111a81047a
1210a8b969
137c92a6b
145184d33
1535a9486
hex24b8fa1

38506401 has 8 divisors (see below), whose sum is σ = 57046560. Its totient is φ = 25670916.

The previous prime is 38506397. The next prime is 38506427. The reversal of 38506401 is 10460583.

38506401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38506401 - 22 = 38506397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1426163 = 38506401 / (3 + 8 + 5 + 0 + 6 + 4 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (38506451) 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 7 ways as a sum of consecutive naturals, for example, 713055 + ... + 713108.

It is an arithmetic number, because the mean of its divisors is an integer number (7130820).

Almost surely, 238506401 is an apocalyptic number.

It is an amenable number.

38506401 is a deficient number, since it is larger than the sum of its proper divisors (18540159).

38506401 is a wasteful number, since it uses less digits than its factorization.

38506401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426172 (or 1426166 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38506401 is about 6205.3526088370. The cubic root of 38506401 is about 337.6843831999.

Adding to 38506401 its reverse (10460583), we get a palindrome (48966984).

The spelling of 38506401 in words is "thirty-eight million, five hundred six thousand, four hundred one".

Divisors: 1 3 9 27 1426163 4278489 12835467 38506401