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4085312 = 26711829
BaseRepresentation
bin1111100101011001000000
321200112222212
433211121000
52021212222
6223321252
746503350
oct17453100
97615885
104085312
1123403a0
121450228
13b0065a
14784b60
1555a6e2
hex3e5640

4085312 has 56 divisors (see below), whose sum is σ = 10119360. Its totient is φ = 1589760.

The previous prime is 4085311. The next prime is 4085339. The reversal of 4085312 is 2135804.

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

It is not an unprimeable number, because it can be changed into a prime (4085311) 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, 4514 + ... + 5342.

Almost surely, 24085312 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 4085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059680).

4085312 is an abundant number, since it is smaller than the sum of its proper divisors (6034048).

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

4085312 is a wasteful number, since it uses less digits than its factorization.

4085312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 4085312 is about 2021.2154758956. The cubic root of 4085312 is about 159.8607121115.

The spelling of 4085312 in words is "four million, eighty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 829 1232 1658 2464 3316 4928 5803 6632 9119 11606 13264 18238 23212 26528 36476 46424 53056 63833 72952 92848 127666 145904 185696 255332 291808 371392 510664 583616 1021328 2042656 4085312