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404124144 = 24323935227
BaseRepresentation
bin11000000101100…
…111000111110000
31001011102122002220
4120011213013300
51311423433034
6104033441040
713004666334
oct3005470760
91034378086
10404124144
111981324a6
12b3410180
1365956818
143b9597c4
152572a749
hex181671f0

404124144 has 40 divisors (see below), whose sum is σ = 1048385280. Its totient is φ = 134140608.

The previous prime is 404124137. The next prime is 404124151. The reversal of 404124144 is 441421404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (404124137) and next prime (404124151).

It is a super-3 number, since 3×4041241443 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6142 + ... + 29085.

It is an arithmetic number, because the mean of its divisors is an integer number (26209632).

Almost surely, 2404124144 is an apocalyptic number.

It is an amenable number.

404124144 is an abundant number, since it is smaller than the sum of its proper divisors (644261136).

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

404124144 is a wasteful number, since it uses less digits than its factorization.

404124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35477 (or 35471 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 404124144 is about 20102.8392024609. The cubic root of 404124144 is about 739.3298925147.

Adding to 404124144 its reverse (441421404), we get a palindrome (845545548).

The spelling of 404124144 in words is "four hundred four million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 239 478 717 956 1434 1912 2868 3824 5736 11472 35227 70454 105681 140908 211362 281816 422724 563632 845448 1690896 8419253 16838506 25257759 33677012 50515518 67354024 101031036 134708048 202062072 404124144