Search a number
-
+
3806656 = 26729293
BaseRepresentation
bin1110100001010111000000
321011101202021
432201113000
51433303111
6213331224
744233060
oct16412700
97141667
103806656
11216aaa7
121336b14
13a33879
147113a0
15502d71
hex3a15c0

3806656 has 56 divisors (see below), whose sum is σ = 8961120. Its totient is φ = 1569792.

The previous prime is 3806653. The next prime is 3806659. The reversal of 3806656 is 6566083.

It is an interprime number because it is at equal distance from previous prime (3806653) and next prime (3806659).

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12846 + ... + 13138.

It is an arithmetic number, because the mean of its divisors is an integer number (160020).

Almost surely, 23806656 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 3806656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480560).

3806656 is an abundant number, since it is smaller than the sum of its proper divisors (5154464).

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

3806656 is a wasteful number, since it uses less digits than its factorization.

3806656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 3806656 is about 1951.0653500075. The cubic root of 3806656 is about 156.1401326848.

The spelling of 3806656 in words is "three million, eight hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 293 406 448 464 586 812 928 1172 1624 1856 2051 2344 3248 4102 4688 6496 8204 8497 9376 12992 16408 16994 18752 32816 33988 59479 65632 67976 118958 131264 135952 237916 271904 475832 543808 951664 1903328 3806656