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3986775 = 3252132947
BaseRepresentation
bin1111001101010101010111
321111112211100
433031111113
52010034100
6221241143
745613152
oct17152527
97445740
103986775
112283361
1214031b3
13a97850
1475ac99
1553b400
hex3cd557

3986775 has 72 divisors (see below), whose sum is σ = 8124480. Its totient is φ = 1854720.

The previous prime is 3986771. The next prime is 3986783. The reversal of 3986775 is 5776893.

It is a happy number.

It is not a de Polignac number, because 3986775 - 22 = 3986771 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (317520) is a multiple of the sum of its prime factors (105).

3986775 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3986775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3986771) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84802 + ... + 84848.

It is an arithmetic number, because the mean of its divisors is an integer number (112840).

Almost surely, 23986775 is an apocalyptic number.

3986775 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

3986775 is a wasteful number, since it uses less digits than its factorization.

3986775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 3986775 is about 1996.6910126507. The cubic root of 3986775 is about 158.5649672139.

It can be divided in two parts, 3986 and 775, that added together give a square (4761 = 692).

The spelling of 3986775 in words is "three million, nine hundred eighty-six thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 29 39 45 47 65 75 87 117 141 145 195 225 235 261 325 377 423 435 585 611 705 725 975 1131 1175 1305 1363 1833 1885 2115 2175 2925 3055 3393 3525 4089 5499 5655 6525 6815 9165 9425 10575 12267 15275 16965 17719 20445 27495 28275 34075 45825 53157 61335 84825 88595 102225 137475 159471 265785 306675 442975 797355 1328925 3986775