Search a number
-
+
4001144 = 237259173
BaseRepresentation
bin1111010000110101111000
321112021112112
433100311320
52011014034
6221431452
746003100
oct17206570
97467475
104001144
112293134
12140b588
13aa1254
14762200
155407ce
hex3d0d78

4001144 has 48 divisors (see below), whose sum is σ = 8926200. Its totient is φ = 1675968.

The previous prime is 4001141. The next prime is 4001147. The reversal of 4001144 is 4411004.

It is an interprime number because it is at equal distance from previous prime (4001141) and next prime (4001147).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23042 + ... + 23214.

Almost surely, 24001144 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 4001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463100).

4001144 is an abundant number, since it is smaller than the sum of its proper divisors (4925056).

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

4001144 is a wasteful number, since it uses less digits than its factorization.

4001144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4001144 is about 2000.2859795539. The cubic root of 4001144 is about 158.7552369777.

Adding to 4001144 its reverse (4411004), we get a palindrome (8412148).

The spelling of 4001144 in words is "four million, one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 59 98 118 173 196 236 346 392 413 472 692 826 1211 1384 1652 2422 2891 3304 4844 5782 8477 9688 10207 11564 16954 20414 23128 33908 40828 67816 71449 81656 142898 285796 500143 571592 1000286 2000572 4001144