Search a number
-
+
4144728 = 233724671
BaseRepresentation
bin1111110011111001011000
321210120111110
433303321120
52030112403
6224500320
750141520
oct17637130
97716443
104144728
112380aa5
12147a6a0
13b21703
1479c680
1556d103
hex3f3e58

4144728 has 32 divisors (see below), whose sum is σ = 11842560. Its totient is φ = 1184160.

The previous prime is 4144711. The next prime is 4144729. The reversal of 4144728 is 8274414.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4144695 and 4144704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144729) 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, 12168 + ... + 12503.

It is an arithmetic number, because the mean of its divisors is an integer number (370080).

Almost surely, 24144728 is an apocalyptic number.

It is an amenable number.

4144728 is an abundant number, since it is smaller than the sum of its proper divisors (7697832).

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

4144728 is a wasteful number, since it uses less digits than its factorization.

4144728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24687 (or 24683 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 4144728 is about 2035.8605060269. The cubic root of 4144728 is about 160.6319796409.

The spelling of 4144728 in words is "four million, one hundred forty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 24671 49342 74013 98684 148026 172697 197368 296052 345394 518091 592104 690788 1036182 1381576 2072364 4144728