Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
201552 = 243131719
BaseRepresentation
bin110001001101010000
3101020110220
4301031100
522422202
64153040
71466421
oct611520
9336426
10201552
1112847a
1298780
1370980
1453648
153eabc
hex31350

201552 has 80 divisors (see below), whose sum is σ = 624960. Its totient is φ = 55296.

The previous prime is 201547. The next prime is 201557. The reversal of 201552 is 255102.

It is an interprime number because it is at equal distance from previous prime (201547) and next prime (201557).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201557) by changing a digit.

201552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 10599 + ... + 10617.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2201552 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 201552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480).

201552 is an abundant number, since it is smaller than the sum of its proper divisors (423408).

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

201552 is a wasteful number, since it uses less digits than its factorization.

201552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 201552 is about 448.9454309824. The cubic root of 201552 is about 58.6312343438.

Adding to 201552 its reverse (255102), we get a palindrome (456654).

The spelling of 201552 in words is "two hundred one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 19 24 26 34 38 39 48 51 52 57 68 76 78 102 104 114 136 152 156 204 208 221 228 247 272 304 312 323 408 442 456 494 624 646 663 741 816 884 912 969 988 1292 1326 1482 1768 1938 1976 2584 2652 2964 3536 3876 3952 4199 5168 5304 5928 7752 8398 10608 11856 12597 15504 16796 25194 33592 50388 67184 100776 201552