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4085676 = 2232731523
BaseRepresentation
bin1111100101011110101100
321200120111100
433211132230
52021220201
6223323100
746504410
oct17453654
97616440
104085676
1123406a1
121450490
13b0087a
14784d40
1555a886
hex3e57ac

4085676 has 72 divisors (see below), whose sum is σ = 12207104. Its totient is φ = 1127520.

The previous prime is 4085659. The next prime is 4085677. The reversal of 4085676 is 6765804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4085676.

It is not an unprimeable number, because it can be changed into a prime (4085677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7551 + ... + 8073.

Almost surely, 24085676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4085676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6103552).

4085676 is an abundant number, since it is smaller than the sum of its proper divisors (8121428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4085676 is a wasteful number, since it uses less digits than its factorization.

4085676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4085676 is about 2021.3055187180. The cubic root of 4085676 is about 159.8654598167.

It can be divided in two parts, 4085 and 676, that added together give a square (4761 = 692).

The spelling of 4085676 in words is "four million, eighty-five thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 523 558 651 868 1046 1116 1302 1569 1953 2092 2604 3138 3661 3906 4707 6276 7322 7812 9414 10983 14644 16213 18828 21966 32426 32949 43932 48639 64852 65898 97278 113491 131796 145917 194556 226982 291834 340473 453964 583668 680946 1021419 1361892 2042838 4085676