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124424144 = 2413598193
BaseRepresentation
bin1110110101010…
…00111111010000
322200010101211122
413122220333100
5223323033034
620202501412
73040405415
oct732507720
9280111748
10124424144
1164263779
1235804868
131ca15870
141274c10c
15adcb62e
hex76a8fd0

124424144 has 20 divisors (see below), whose sum is σ = 259616196. Its totient is φ = 57426432.

The previous prime is 124424143. The next prime is 124424149. The reversal of 124424144 is 441424421.

It can be written as a sum of positive squares in 2 ways, for example, as 78996544 + 45427600 = 8888^2 + 6740^2 .

It is a super-2 number, since 2×1244241442 = 30962735220265472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124424143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 298889 + ... + 299304.

Almost surely, 2124424144 is an apocalyptic number.

It is an amenable number.

124424144 is an abundant number, since it is smaller than the sum of its proper divisors (135192052).

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

124424144 is a wasteful number, since it uses less digits than its factorization.

124424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598214 (or 598208 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 124424144 is about 11154.5570956448. The cubic root of 124424144 is about 499.2310099148.

Adding to 124424144 its reverse (441424421), we get a palindrome (565848565).

The spelling of 124424144 in words is "one hundred twenty-four million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 598193 1196386 2392772 4785544 7776509 9571088 15553018 31106036 62212072 124424144