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4149444 = 2231367397
BaseRepresentation
bin1111110101000011000100
321210210222010
433311003010
52030240234
6224534220
750161335
oct17650304
97723863
104149444
1123845a2
121481370
13b238c0
147a028c
1556e6e9
hex3f50c4

4149444 has 48 divisors (see below), whose sum is σ = 10609088. Its totient is φ = 1254528.

The previous prime is 4149437. The next prime is 4149451. The reversal of 4149444 is 4449414.

4149444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4149437) and next prime (4149451).

It is a super-3 number, since 3×41494443 (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10254 + ... + 10650.

Almost surely, 24149444 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 4149444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304544).

4149444 is an abundant number, since it is smaller than the sum of its proper divisors (6459644).

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

4149444 is a wasteful number, since it uses less digits than its factorization.

4149444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 482 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 4149444 is about 2037.0184093424. The cubic root of 4149444 is about 160.6928805637.

Subtracting from 4149444 its sum of digits (30), we obtain a palindrome (4149414).

The spelling of 4149444 in words is "four million, one hundred forty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 268 397 402 794 804 871 1191 1588 1742 2382 2613 3484 4764 5161 5226 10322 10452 15483 20644 26599 30966 53198 61932 79797 106396 159594 319188 345787 691574 1037361 1383148 2074722 4149444