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3885696 = 27323373
BaseRepresentation
bin1110110100101010000000
321022102011200
432310222000
51443320241
6215141200
745012363
oct16645200
97272150
103885696
112214421
121374800
13a60839
147320da
1551b4b6
hex3b4a80

3885696 has 48 divisors (see below), whose sum is σ = 11184810. Its totient is φ = 1294848.

The previous prime is 3885691. The next prime is 3885697. The reversal of 3885696 is 6965883.

3885696 is a `hidden beast` number, since 3 + 88 + 569 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2143296 + 1742400 = 1464^2 + 1320^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3885691) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 535 + ... + 2838.

Almost surely, 23885696 is an apocalyptic number.

3885696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3885696 is an abundant number, since it is smaller than the sum of its proper divisors (7299114).

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

3885696 is a wasteful number, since it uses less digits than its factorization.

3885696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3378 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 3885696 is about 1971.2168830446. The cubic root of 3885696 is about 157.2134168763.

It can be divided in two parts, 388 and 5696, that added together give a square (6084 = 782).

The spelling of 3885696 in words is "three million, eight hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3373 6746 10119 13492 20238 26984 30357 40476 53968 60714 80952 107936 121428 161904 215872 242856 323808 431744 485712 647616 971424 1295232 1942848 3885696