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4144959 = 337213241
BaseRepresentation
bin1111110011111100111111
321210120211000
433303330333
52030114314
6224501343
750142300
oct17637477
97716730
104144959
112381195
12147a853
13b21850
1479c7a7
1556d209
hex3f3f3f

4144959 has 48 divisors (see below), whose sum is σ = 7724640. Its totient is φ = 2177280.

The previous prime is 4144919. The next prime is 4144961. The reversal of 4144959 is 9594414.

It is a happy number.

4144959 is nontrivially palindromic in base 2 and base 4.

It is not a de Polignac number, because 4144959 - 213 = 4136767 is a prime.

It is a super-2 number, since 2×41449592 = 34361370223362, which contains 22 as substring.

4144959 is an undulating number in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144919) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17079 + ... + 17319.

It is an arithmetic number, because the mean of its divisors is an integer number (160930).

Almost surely, 24144959 is an apocalyptic number.

4144959 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4144959 is a deficient number, since it is larger than the sum of its proper divisors (3579681).

4144959 is a wasteful number, since it uses less digits than its factorization.

4144959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4144959 is about 2035.9172380035. The cubic root of 4144959 is about 160.6349637770.

The spelling of 4144959 in words is "four million, one hundred forty-four thousand, nine hundred fifty-nine".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 241 273 351 441 637 723 819 1323 1687 1911 2169 2457 3133 5061 5733 6507 9399 11809 15183 17199 21931 28197 35427 45549 65793 84591 106281 153517 197379 318843 460551 592137 1381653 4144959