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4396896 = 25337727
BaseRepresentation
bin10000110001011101100000
322021101102000
4100301131200
52111200041
6234124000
752241640
oct20613540
98241360
104396896
1125334a9
121580600
13bac41a
14826520
155bcbb6
hex431760

4396896 has 96 divisors (see below), whose sum is σ = 14676480. Its totient is φ = 1254528.

The previous prime is 4396877. The next prime is 4396907. The reversal of 4396896 is 6986934.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5685 + ... + 6411.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 24396896 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 4396896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240).

4396896 is an abundant number, since it is smaller than the sum of its proper divisors (10279584).

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

4396896 is a wasteful number, since it uses less digits than its factorization.

4396896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 739 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 4396896 is about 2096.8776788358. The cubic root of 4396896 is about 163.8257121279.

It can be divided in two parts, 4 and 396896, that added together give a square (396900 = 6302).

The spelling of 4396896 in words is "four million, three hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 727 756 864 1008 1454 1512 2016 2181 2908 3024 4362 5089 5816 6048 6543 8724 10178 11632 13086 15267 17448 19629 20356 23264 26172 30534 34896 39258 40712 45801 52344 61068 69792 78516 81424 91602 104688 122136 137403 157032 162848 183204 209376 244272 274806 314064 366408 488544 549612 628128 732816 1099224 1465632 2198448 4396896