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819393939 = 327134353439
BaseRepresentation
bin110000110101101…
…111010110010011
32010002211112011200
4300311233112103
53134231101224
6213150242243
726206506420
oct6065572623
92102745150
10819393939
11390587881
121aa4b6383
131009b34b0
147ab76d47
154be085c9
hex30d6f593

819393939 has 96 divisors (see below), whose sum is σ = 1522160640. Its totient is φ = 413247744.

The previous prime is 819393937. The next prime is 819393961. The reversal of 819393939 is 939393918.

It is not a de Polignac number, because 819393939 - 21 = 819393937 is a prime.

819393939 is a modest number, since divided by 393939 gives 819 as remainder.

It is not an unprimeable number, because it can be changed into a prime (819393937) 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 95 ways as a sum of consecutive naturals, for example, 1866282 + ... + 1866720.

It is an arithmetic number, because the mean of its divisors is an integer number (15855840).

Almost surely, 2819393939 is an apocalyptic number.

819393939 is a deficient number, since it is larger than the sum of its proper divisors (702766701).

819393939 is a wasteful number, since it uses less digits than its factorization.

819393939 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 558 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 54.

The square root of 819393939 is about 28625.0578864044. The cubic root of 819393939 is about 935.7595090838.

The spelling of 819393939 in words is "eight hundred nineteen million, three hundred ninety-three thousand, nine hundred thirty-nine".

Divisors: 1 3 7 9 13 21 39 43 53 63 91 117 129 159 273 301 371 387 439 477 559 689 819 903 1113 1317 1677 2067 2279 2709 3073 3339 3913 3951 4823 5031 5707 6201 6837 9219 11739 14469 15953 17121 18877 20511 23267 27657 29627 35217 39949 43407 47859 51363 56631 69801 88881 119847 132139 143577 162869 169893 207389 209403 245401 266643 302471 359541 396417 488607 622167 736203 907413 1000481 1189251 1465821 1717807 1866501 2117297 2208609 2722239 3001443 5153421 6351891 7003367 9004329 13006253 15460263 19055673 21010101 39018759 63030303 91043771 117056277 273131313 819393939