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441696 = 25343107
BaseRepresentation
bin1101011110101100000
3211102220010
41223311200
5103113241
613244520
73516513
oct1536540
9742803
10441696
11281942
12193740
13126078
14b6d7a
158ad16
hex6bd60

441696 has 48 divisors (see below), whose sum is σ = 1197504. Its totient is φ = 142464.

The previous prime is 441667. The next prime is 441697. The reversal of 441696 is 696144.

441696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 441696.

It is not an unprimeable number, because it can be changed into a prime (441697) by changing a digit.

441696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4075 + ... + 4181.

It is an arithmetic number, because the mean of its divisors is an integer number (24948).

2441696 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 441696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752).

441696 is an abundant number, since it is smaller than the sum of its proper divisors (755808).

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

441696 is a wasteful number, since it uses less digits than its factorization.

441696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 441696 is about 664.6021366201. The cubic root of 441696 is about 76.1566482766.

It can be divided in two parts, 441 and 696, that multiplied together give a triangular number (306936 = T783).

The spelling of 441696 in words is "four hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 107 129 172 214 258 321 344 428 516 642 688 856 1032 1284 1376 1712 2064 2568 3424 4128 4601 5136 9202 10272 13803 18404 27606 36808 55212 73616 110424 147232 220848 441696