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2413404100 = 225289271169
BaseRepresentation
bin1000111111011001…
…1001111111000100
320020012020122001001
42033312121333010
514420312412400
61035251343044
7113543411362
oct21766317704
96205218031
102413404100
111029338248
125742b1a84
132c5ccca83
1418c74c632
15e1d22a6a
hex8fd99fc4

2413404100 has 36 divisors (see below), whose sum is σ = 5295950100. Its totient is φ = 954511360.

The previous prime is 2413404089. The next prime is 2413404113. The reversal of 2413404100 is 14043142.

It can be written as a sum of positive squares in 6 ways, for example, as 23367556 + 2390036544 = 4834^2 + 48888^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126685 + ... + 144484.

It is an arithmetic number, because the mean of its divisors is an integer number (147109725).

Almost surely, 22413404100 is an apocalyptic number.

2413404100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413404100 is an abundant number, since it is smaller than the sum of its proper divisors (2882546000).

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

2413404100 is a wasteful number, since it uses less digits than its factorization.

2413404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271272 (or 271265 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2413404100 is about 49126.4093945405. The cubic root of 2413404100 is about 1341.3538148074.

Adding to 2413404100 its reverse (14043142), we get a palindrome (2427447242).

The spelling of 2413404100 in words is "two billion, four hundred thirteen million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 8900 271169 542338 1084676 1355845 2711690 5423380 6779225 13558450 24134041 27116900 48268082 96536164 120670205 241340410 482680820 603351025 1206702050 2413404100