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4241024 = 27171949
BaseRepresentation
bin10000001011011010000000
321222110120222
4100023122000
52041203044
6230522212
751022334
oct20133200
97873528
104241024
112437387
121506368
13b564a8
147c57c4
1558b8ee
hex40b680

4241024 has 32 divisors (see below), whose sum is σ = 8950500. Its totient is φ = 1994752.

The previous prime is 4241023. The next prime is 4241057. The reversal of 4241024 is 4201424.

It can be written as a sum of positive squares in 2 ways, for example, as 3841600 + 399424 = 1960^2 + 632^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 4240993 and 4241011.

It is not an unprimeable number, because it can be changed into a prime (4241021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1202 + ... + 3150.

Almost surely, 24241024 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 4241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475250).

4241024 is an abundant number, since it is smaller than the sum of its proper divisors (4709476).

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

4241024 is a wasteful number, since it uses less digits than its factorization.

4241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4241024 is about 2059.3746623672. The cubic root of 4241024 is about 161.8664753540.

Adding to 4241024 its reverse (4201424), we get a palindrome (8442448).

The spelling of 4241024 in words is "four million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 1949 2176 3898 7796 15592 31184 33133 62368 66266 124736 132532 249472 265064 530128 1060256 2120512 4241024