Search a number
-
+
4221504 = 26337349
BaseRepresentation
bin10000000110101001000000
321221110211000
4100012221000
52040042004
6230252000
750611410
oct20065100
97843730
104221504
112423751
1214b7000
13b4a641
147bc640
15585c39
hex406a40

4221504 has 112 divisors (see below), whose sum is σ = 14224000. Its totient is φ = 1202688.

The previous prime is 4221499. The next prime is 4221521. The reversal of 4221504 is 4051224.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 11922 + ... + 12270.

It is an arithmetic number, because the mean of its divisors is an integer number (127000).

Almost surely, 24221504 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 4221504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112000).

4221504 is an abundant number, since it is smaller than the sum of its proper divisors (10002496).

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

4221504 is a wasteful number, since it uses less digits than its factorization.

4221504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4221504 is about 2054.6298936792. The cubic root of 4221504 is about 161.6177544784.

Adding to 4221504 its reverse (4051224), we get a palindrome (8272728).

The spelling of 4221504 in words is "four million, two hundred twenty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 349 378 432 448 504 576 672 698 756 864 1008 1047 1344 1396 1512 1728 2016 2094 2443 2792 3024 3141 4032 4188 4886 5584 6048 6282 7329 8376 9423 9772 11168 12096 12564 14658 16752 18846 19544 21987 22336 25128 29316 33504 37692 39088 43974 50256 58632 65961 67008 75384 78176 87948 100512 117264 131922 150768 156352 175896 201024 234528 263844 301536 351792 469056 527688 603072 703584 1055376 1407168 2110752 4221504