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819214407 = 32112752263
BaseRepresentation
bin110000110101000…
…011100001000111
32010002111101220100
4300311003201013
53134204330112
6213142335143
726205131124
oct6065034107
92102441810
10819214407
11390474a00
121aa42a4b3
1310094c86b
147ab2b74b
154bdc02dc
hex30d43847

819214407 has 18 divisors (see below), whose sum is σ = 1300664456. Its totient is φ = 496492920.

The previous prime is 819214381. The next prime is 819214423. The reversal of 819214407 is 704412918.

It is not a de Polignac number, because 819214407 - 216 = 819148871 is a prime.

It is a super-2 number, since 2×8192144072 = 1342224489272723298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819215407) 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 17 ways as a sum of consecutive naturals, for example, 375043 + ... + 377220.

Almost surely, 2819214407 is an apocalyptic number.

819214407 is a deficient number, since it is larger than the sum of its proper divisors (481450049).

819214407 is a wasteful number, since it uses less digits than its factorization.

819214407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752291 (or 752277 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 819214407 is about 28621.9217908232. The cubic root of 819214407 is about 935.6911613943.

The spelling of 819214407 in words is "eight hundred nineteen million, two hundred fourteen thousand, four hundred seven".

Divisors: 1 3 9 11 33 99 121 363 1089 752263 2256789 6770367 8274893 24824679 74474037 91023823 273071469 819214407