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404124705 = 3258980549
BaseRepresentation
bin11000000101100…
…111010000100001
31001011102122212200
4120011213100201
51311423442310
6104033443413
713005001065
oct3005472041
91034378780
10404124705
11198132966
12b3410569
1365956b5a
143b959aa5
152572a9c0
hex18167421

404124705 has 12 divisors (see below), whose sum is σ = 700482900. Its totient is φ = 215533152.

The previous prime is 404124667. The next prime is 404124719. The reversal of 404124705 is 507421404.

It can be written as a sum of positive squares in 2 ways, for example, as 306530064 + 97594641 = 17508^2 + 9879^2 .

It is not a de Polignac number, because 404124705 - 26 = 404124641 is a prime.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4490230 + ... + 4490319.

It is an arithmetic number, because the mean of its divisors is an integer number (58373575).

Almost surely, 2404124705 is an apocalyptic number.

404124705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404124705 is a deficient number, since it is larger than the sum of its proper divisors (296358195).

404124705 is a wasteful number, since it uses less digits than its factorization.

404124705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980560 (or 8980557 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 404124705 is about 20102.8531557090. The cubic root of 404124705 is about 739.3302346240.

The spelling of 404124705 in words is "four hundred four million, one hundred twenty-four thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 8980549 26941647 44902745 80824941 134708235 404124705