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404112040 = 23564115761
BaseRepresentation
bin11000000101100…
…100001010101000
31001011102000111121
4120011210022220
51311423041130
6104033305024
713004616133
oct3005441250
91034360447
10404112040
111981243a2
12b3405174
1365951167
143b95521a
1525726d7a
hex181642a8

404112040 has 32 divisors (see below), whose sum is σ = 910728360. Its totient is φ = 161382400.

The previous prime is 404112029. The next prime is 404112061. The reversal of 404112040 is 40211404.

It can be written as a sum of positive squares in 4 ways, for example, as 393704964 + 10407076 = 19842^2 + 3226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17760 + ... + 33520.

Almost surely, 2404112040 is an apocalyptic number.

404112040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404112040 is an abundant number, since it is smaller than the sum of its proper divisors (506616320).

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

404112040 is a wasteful number, since it uses less digits than its factorization.

404112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16413 (or 16409 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 404112040 is about 20102.5381482041. The cubic root of 404112040 is about 739.3225111704.

Adding to 404112040 its reverse (40211404), we get a palindrome (444323444).

The spelling of 404112040 in words is "four hundred four million, one hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 641 1282 2564 3205 5128 6410 12820 15761 25640 31522 63044 78805 126088 157610 315220 630440 10102801 20205602 40411204 50514005 80822408 101028010 202056020 404112040