Search a number
-
+
4381152 = 25347971
BaseRepresentation
bin10000101101100111100000
322020120210220
4100231213200
52110144102
6233523040
752145016
oct20554740
98216726
104381152
112522696
121573480
13ba51c9
148208b6
155b81bc
hex42d9e0

4381152 has 48 divisors (see below), whose sum is σ = 11757312. Its totient is φ = 1427840.

The previous prime is 4381151. The next prime is 4381159. The reversal of 4381152 is 2511834.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4381151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4027 + ... + 4997.

It is an arithmetic number, because the mean of its divisors is an integer number (244944).

Almost surely, 24381152 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 4381152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878656).

4381152 is an abundant number, since it is smaller than the sum of its proper divisors (7376160).

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

4381152 is a wasteful number, since it uses less digits than its factorization.

4381152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1023 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 4381152 is about 2093.1201589971. The cubic root of 4381152 is about 163.6299409376.

Adding to 4381152 its reverse (2511834), we get a palindrome (6892986).

The spelling of 4381152 in words is "four million, three hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 971 1128 1504 1942 2256 2913 3884 4512 5826 7768 11652 15536 23304 31072 45637 46608 91274 93216 136911 182548 273822 365096 547644 730192 1095288 1460384 2190576 4381152