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3696896 = 2872063
BaseRepresentation
bin1110000110100100000000
320221211012002
432012210000
51421300041
6211123132
743265060
oct16064400
96854162
103696896
1120a5595
1212a34a8
139c5918
146c33a0
154d059b
hex386900

3696896 has 36 divisors (see below), whose sum is σ = 8437632. Its totient is φ = 1583616.

The previous prime is 3696893. The next prime is 3696907. The reversal of 3696896 is 6986963.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3696896.

It is not an unprimeable number, because it can be changed into a prime (3696893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 761 + ... + 2823.

Almost surely, 23696896 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 3696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218816).

3696896 is an abundant number, since it is smaller than the sum of its proper divisors (4740736).

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

3696896 is an equidigital number, since it uses as much as digits as its factorization.

3696896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2072 counting only the distinct ones).

The product of its digits is 419904, while the sum is 47.

The square root of 3696896 is about 1922.7313904963. The cubic root of 3696896 is about 154.6247739625.

The spelling of 3696896 in words is "three million, six hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 2063 4126 8252 14441 16504 28882 33008 57764 66016 115528 132032 231056 264064 462112 528128 924224 1848448 3696896