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404642112 = 2637301073
BaseRepresentation
bin11000000111100…
…101100101000000
31001012101221121220
4120013211211000
51312042021422
6104052515040
713012254420
oct3007454500
91035357556
10404642112
11198456676
12b361ba80
1365aa8504
143ba52480
15257cde5c
hex181e5940

404642112 has 56 divisors (see below), whose sum is σ = 1223564736. Its totient is φ = 115611648.

The previous prime is 404642111. The next prime is 404642153. The reversal of 404642112 is 211246404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404642111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 149193 + ... + 151880.

Almost surely, 2404642112 is an apocalyptic number.

404642112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

404642112 is an abundant number, since it is smaller than the sum of its proper divisors (818922624).

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

404642112 is a wasteful number, since it uses less digits than its factorization.

404642112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301095 (or 301085 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 404642112 is about 20115.7180334185. The cubic root of 404642112 is about 739.6456253066.

Adding to 404642112 its reverse (211246404), we get a palindrome (615888516).

The spelling of 404642112 in words is "four hundred four million, six hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 301073 602146 903219 1204292 1806438 2107511 2408584 3612876 4215022 4817168 6322533 7225752 8430044 9634336 12645066 14451504 16860088 19268672 25290132 28903008 33720176 50580264 57806016 67440352 101160528 134880704 202321056 404642112