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8424144 = 2432193079
BaseRepresentation
bin100000001000…
…101011010000
3120211222202100
4200020223100
54124033034
6500320400
7131414121
oct40105320
916758670
108424144
114834203
1229a3100
13198c501
141194048
15b16099
hex808ad0

8424144 has 60 divisors (see below), whose sum is σ = 24824800. Its totient is φ = 2659392.

The previous prime is 8424137. The next prime is 8424151. The reversal of 8424144 is 4414248.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8424137) and next prime (8424151).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1197 + ... + 4275.

Almost surely, 28424144 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 8424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12412400).

8424144 is an abundant number, since it is smaller than the sum of its proper divisors (16400656).

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

8424144 is a wasteful number, since it uses less digits than its factorization.

8424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3103 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 8424144 is about 2902.4375962284. The cubic root of 8424144 is about 203.4738459628.

The spelling of 8424144 in words is "eight million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 3079 6158 9237 12316 18474 24632 27711 36948 49264 55422 58501 73896 110844 117002 147792 175503 221688 234004 351006 443376 468008 526509 702012 936016 1053018 1404024 2106036 2808048 4212072 8424144