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404897840 = 24517297719
BaseRepresentation
bin11000001000100…
…100000000110000
31001012212221102022
4120020210000300
51312123212330
6104102211012
713014401114
oct3010440060
91035787368
10404897840
11198610816
12b3723a68
1365b67a29
143babb744
152582eae5
hex18224030

404897840 has 40 divisors (see below), whose sum is σ = 996766560. Its totient is φ = 152431616.

The previous prime is 404897839. The next prime is 404897849. The reversal of 404897840 is 48798404.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 404897791 and 404897800.

It is not an unprimeable number, because it can be changed into a prime (404897849) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 147500 + ... + 150219.

It is an arithmetic number, because the mean of its divisors is an integer number (24919164).

Almost surely, 2404897840 is an apocalyptic number.

404897840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404897840 is an abundant number, since it is smaller than the sum of its proper divisors (591868720).

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

404897840 is a wasteful number, since it uses less digits than its factorization.

404897840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297749 (or 297743 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 404897840 is about 20122.0734518091. The cubic root of 404897840 is about 739.8014076293.

The spelling of 404897840 in words is "four hundred four million, eight hundred ninety-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 297719 595438 1190876 1488595 2381752 2977190 4763504 5061223 5954380 10122446 11908760 20244892 23817520 25306115 40489784 50612230 80979568 101224460 202448920 404897840