Search a number
-
+
4221152 = 251373139
BaseRepresentation
bin10000000110100011100000
321221110022222
4100012203200
52040034102
6230250212
750610365
oct20064340
97843288
104221152
112423461
1214b6968
13b4a430
147bc46c
15585aa2
hex4068e0

4221152 has 48 divisors (see below), whose sum is σ = 9137520. Its totient is φ = 1907712.

The previous prime is 4221109. The next prime is 4221169. The reversal of 4221152 is 2511224.

It is a self number, because there is not a number n which added to its sum of digits gives 4221152.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 30299 + ... + 30437.

It is an arithmetic number, because the mean of its divisors is an integer number (190365).

Almost surely, 24221152 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 4221152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568760).

4221152 is an abundant number, since it is smaller than the sum of its proper divisors (4916368).

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

4221152 is a wasteful number, since it uses less digits than its factorization.

4221152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its digits is 160, while the sum is 17.

The square root of 4221152 is about 2054.5442316971. The cubic root of 4221152 is about 161.6132623171.

Adding to 4221152 its reverse (2511224), we get a palindrome (6732376).

The spelling of 4221152 in words is "four million, two hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 139 146 208 278 292 416 556 584 949 1112 1168 1807 1898 2224 2336 3614 3796 4448 7228 7592 10147 14456 15184 20294 28912 30368 40588 57824 81176 131911 162352 263822 324704 527644 1055288 2110576 4221152