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3934048149 = 3317311511831
BaseRepresentation
bin1110101001111100…
…1100111110010101
3101011011121100112000
43222133030332111
531024104020044
61450212145513
7166326600063
oct35237147625
911134540460
103934048149
111739738669
12919608299
134a906c655
142946a7033
15180598d69
hexea7ccf95

3934048149 has 64 divisors (see below), whose sum is σ = 6415810560. Its totient is φ = 2371680000.

The previous prime is 3934048141. The next prime is 3934048169. The reversal of 3934048149 is 9418404393.

It is a happy number.

3934048149 is a `hidden beast` number, since 3 + 93 + 40 + 481 + 49 = 666.

It is not a de Polignac number, because 3934048149 - 23 = 3934048141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3934048141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2147664 + ... + 2149494.

It is an arithmetic number, because the mean of its divisors is an integer number (100247040).

Almost surely, 23934048149 is an apocalyptic number.

It is an amenable number.

3934048149 is a deficient number, since it is larger than the sum of its proper divisors (2481762411).

3934048149 is a wasteful number, since it uses less digits than its factorization.

3934048149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3934048149 is about 62721.9909521374. The cubic root of 3934048149 is about 1578.6283225545.

The spelling of 3934048149 in words is "three billion, nine hundred thirty-four million, forty-eight thousand, one hundred forty-nine".

Divisors: 1 3 9 17 27 31 51 93 151 153 279 453 459 527 837 1359 1581 1831 2567 4077 4681 4743 5493 7701 14043 14229 16479 23103 31127 42129 49437 56761 69309 79577 93381 126387 170283 238731 276481 280143 510849 716193 829443 840429 964937 1532547 2148579 2488329 2894811 4700177 7464987 8570911 8684433 14100531 25712733 26053299 42301593 77138199 126904779 145705487 231414597 437116461 1311349383 3934048149