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838297149 = 31716437199
BaseRepresentation
bin110001111101110…
…110011000111101
32011102101220111120
4301331312120331
53204101002044
6215103341153
726526260004
oct6175663075
92142356446
10838297149
113a0219068
121b48b17b9
131048a1621
147d497c3b
154d8de519
hex31f7663d

838297149 has 8 divisors (see below), whose sum is σ = 1183478400. Its totient is φ = 525990336.

The previous prime is 838297147. The next prime is 838297247. The reversal of 838297149 is 941792838.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 838297149 - 21 = 838297147 is a prime.

It is a super-2 number, since 2×8382971492 = 1405484220043056402, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (51), and also a Moran number because the ratio is a prime number: 16437199 = 838297149 / (8 + 3 + 8 + 2 + 9 + 7 + 1 + 4 + 9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838297147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8218549 + ... + 8218650.

It is an arithmetic number, because the mean of its divisors is an integer number (147934800).

Almost surely, 2838297149 is an apocalyptic number.

It is an amenable number.

838297149 is a deficient number, since it is larger than the sum of its proper divisors (345181251).

838297149 is a wasteful number, since it uses less digits than its factorization.

838297149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16437219.

The product of its digits is 870912, while the sum is 51.

The square root of 838297149 is about 28953.3616182992. The cubic root of 838297149 is about 942.9007830024.

The spelling of 838297149 in words is "eight hundred thirty-eight million, two hundred ninety-seven thousand, one hundred forty-nine".

Divisors: 1 3 17 51 16437199 49311597 279432383 838297149