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5831385 = 357193779
BaseRepresentation
bin10110001111101011011001
3101222021011020
4112033223121
52443101020
6324553053
7100365060
oct26175331
911867136
105831385
11332322a
121b52789
131292331
14abb1d7
157a2c40
hex58fad9

5831385 has 64 divisors (see below), whose sum is σ = 11673600. Its totient is φ = 2426112.

The previous prime is 5831381. The next prime is 5831387.

5831385 is nontrivially palindromic in base 10.

5831385 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5831385 - 22 = 5831381 is a prime.

Its product of digits (14400) is a multiple of the sum of its prime divisors (150).

It is not an unprimeable number, because it can be changed into a prime (5831381) 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, 73776 + ... + 73854.

It is an arithmetic number, because the mean of its divisors is an integer number (182400).

Almost surely, 25831385 is an apocalyptic number.

It is an amenable number.

5831385 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

5831385 is a wasteful number, since it uses less digits than its factorization.

5831385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150.

The product of its digits is 14400, while the sum is 33.

The square root of 5831385 is about 2414.8260806940. The cubic root of 5831385 is about 179.9936726171.

It can be divided in two parts, 5831 and 385, that added together give a triangular number (6216 = T111).

The spelling of 5831385 in words is "five million, eight hundred thirty-one thousand, three hundred eighty-five".

Divisors: 1 3 5 7 15 19 21 35 37 57 79 95 105 111 133 185 237 259 285 395 399 553 555 665 703 777 1185 1295 1501 1659 1995 2109 2765 2923 3515 3885 4503 4921 7505 8295 8769 10507 10545 14615 14763 20461 22515 24605 31521 43845 52535 55537 61383 73815 102305 157605 166611 277685 306915 388759 833055 1166277 1943795 5831385