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418243420 = 22572426779
BaseRepresentation
bin11000111011011…
…110001101011100
31002010222222010001
4120323132031130
51324032242140
6105300224044
713236003400
oct3073361534
91063888101
10418243420
111a50a6521
12b809b024
136885b31a
143d793100
1526ab8e9a
hex18ede35c

418243420 has 36 divisors (see below), whose sum is σ = 1021711320. Its totient is φ = 143397408.

The previous prime is 418243417. The next prime is 418243421. The reversal of 418243420 is 24342814.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418243421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212410 + ... + 214369.

It is an arithmetic number, because the mean of its divisors is an integer number (28380870).

Almost surely, 2418243420 is an apocalyptic number.

It is an amenable number.

418243420 is an abundant number, since it is smaller than the sum of its proper divisors (603467900).

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

418243420 is a wasteful number, since it uses less digits than its factorization.

418243420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426802 (or 426793 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 418243420 is about 20451.0004645250. Note that the first 3 decimals coincide. The cubic root of 418243420 is about 747.8417478134.

The spelling of 418243420 in words is "four hundred eighteen million, two hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 426779 853558 1707116 2133895 2987453 4267790 5974906 8535580 11949812 14937265 20912171 29874530 41824342 59749060 83648684 104560855 209121710 418243420