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4144788 = 2232115133
BaseRepresentation
bin1111110011111010010100
321210120120200
433303322110
52030113123
6224500500
750141634
oct17637224
97716520
104144788
11238104a
12147a730
13b2174b
1479c6c4
1556d143
hex3f3e94

4144788 has 18 divisors (see below), whose sum is σ = 10477194. Its totient is φ = 1381584.

The previous prime is 4144783. The next prime is 4144801. The reversal of 4144788 is 8874414.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3732624 + 412164 = 1932^2 + 642^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 115133 = 4144788 / (4 + 1 + 4 + 4 + 7 + 8 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144781) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57531 + ... + 57602.

Almost surely, 24144788 is an apocalyptic number.

It is an amenable number.

4144788 is an abundant number, since it is smaller than the sum of its proper divisors (6332406).

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

4144788 is a wasteful number, since it uses less digits than its factorization.

4144788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115143 (or 115138 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 4144788 is about 2035.8752417572. The cubic root of 4144788 is about 160.6327547518.

The spelling of 4144788 in words is "four million, one hundred forty-four thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 115133 230266 345399 460532 690798 1036197 1381596 2072394 4144788