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764059149 = 34723411429
BaseRepresentation
bin101101100010101…
…001111000001101
31222020201020010000
4231202221320031
53031044343044
6203452234513
724635252460
oct5542517015
91866636100
10764059149
11362322a47
12193a6ba39
13c23aab09
14736912d7
1547127d69
hex2d8a9e0d

764059149 has 80 divisors (see below), whose sum is σ = 1395313920. Its totient is φ = 407151360.

The previous prime is 764059147. The next prime is 764059151. The reversal of 764059149 is 941950467.

764059149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (764059147) and next prime (764059151).

It is not a de Polignac number, because 764059149 - 21 = 764059147 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764059147) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 533967 + ... + 535395.

It is an arithmetic number, because the mean of its divisors is an integer number (17441424).

Almost surely, 2764059149 is an apocalyptic number.

It is an amenable number.

764059149 is a deficient number, since it is larger than the sum of its proper divisors (631254771).

764059149 is a wasteful number, since it uses less digits than its factorization.

764059149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 764059149 is about 27641.6198693202. The cubic root of 764059149 is about 914.2023362710.

The spelling of 764059149 in words is "seven hundred sixty-four million, fifty-nine thousand, one hundred forty-nine".

Divisors: 1 3 7 9 21 23 27 41 63 69 81 123 161 189 207 287 369 483 567 621 861 943 1107 1429 1449 1863 2583 2829 3321 4287 4347 6601 7749 8487 10003 12861 13041 19803 23247 25461 30009 32867 38583 58589 59409 76383 90027 98601 115749 175767 178227 230069 270081 295803 410123 527301 534681 690207 810243 887409 1230369 1347547 1581903 2070621 2662227 3691107 4042641 4745709 6211863 9432829 11073321 12127923 18635589 28298487 33219963 36383769 84895461 109151307 254686383 764059149