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838138209 = 32113373929
BaseRepresentation
bin110001111101001…
…111100101100001
32011102002211110220
4301331033211201
53204030410314
6215100113253
726525025426
oct6175174541
92142084426
10838138209
113a011a707
121b4835829
1310484718c
147d455d4d
154d8ac3a9
hex31f4f961

838138209 has 16 divisors (see below), whose sum is σ = 1126432320. Its totient is φ = 554319360.

The previous prime is 838138183. The next prime is 838138211. The reversal of 838138209 is 902831838.

It is not a de Polignac number, because 838138209 - 29 = 838137697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (838138219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211357 + ... + 215285.

It is an arithmetic number, because the mean of its divisors is an integer number (70402020).

Almost surely, 2838138209 is an apocalyptic number.

It is an amenable number.

838138209 is a deficient number, since it is larger than the sum of its proper divisors (288294111).

838138209 is a wasteful number, since it uses less digits than its factorization.

838138209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480.

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 838138209 is about 28950.6167291821. The cubic root of 838138209 is about 942.8411883336.

The spelling of 838138209 in words is "eight hundred thirty-eight million, one hundred thirty-eight thousand, two hundred nine".

Divisors: 1 3 211 337 633 1011 3929 11787 71107 213321 829019 1324073 2487057 3972219 279379403 838138209