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4056696 = 233372683
BaseRepresentation
bin1111011110011001111000
321122002202000
433132121320
52014303241
6222541000
746324050
oct17363170
97562660
104056696
112320946
121437760
13ac0617
14778560
15551eb6
hex3de678

4056696 has 64 divisors (see below), whose sum is σ = 12883200. Its totient is φ = 1158624.

The previous prime is 4056641. The next prime is 4056697. The reversal of 4056696 is 6966504.

It is a happy number.

4056696 is a `hidden beast` number, since 4 + 0 + 566 + 96 = 666.

4056696 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 4056696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171 + ... + 2853.

It is an arithmetic number, because the mean of its divisors is an integer number (201300).

Almost surely, 24056696 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 4056696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441600).

4056696 is an abundant number, since it is smaller than the sum of its proper divisors (8826504).

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

4056696 is a wasteful number, since it uses less digits than its factorization.

4056696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4056696 is about 2014.1241272573. The cubic root of 4056696 is about 159.4865834504.

The spelling of 4056696 in words is "four million, fifty-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2683 5366 8049 10732 16098 18781 21464 24147 32196 37562 48294 56343 64392 72441 75124 96588 112686 144882 150248 169029 193176 225372 289764 338058 450744 507087 579528 676116 1014174 1352232 2028348 4056696