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4193408 = 271812
BaseRepresentation
bin1111111111110010000000
321220001021102
433333302000
52033142113
6225513532
750433452
oct17776200
97801242
104193408
11240462a
1214a28a8
13b3a90b
147b22d2
1557c758
hex3ffc80

4193408 has 24 divisors (see below), whose sum is σ = 8400465. Its totient is φ = 2085120.

The previous prime is 4193393. The next prime is 4193411. The reversal of 4193408 is 8043914.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2534464 + 1658944 = 1592^2 + 1288^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1448.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 23078 + ... + 23258.

Almost surely, 24193408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4193408

4193408 is an abundant number, since it is smaller than the sum of its proper divisors (4207057).

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

4193408 is an frugal number, since it uses more digits than its factorization.

4193408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 4193408 is about 2047.7812383162. The cubic root of 4193408 is about 161.2584099133.

The spelling of 4193408 in words is "four million, one hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 128 181 362 724 1448 2896 5792 11584 23168 32761 65522 131044 262088 524176 1048352 2096704 4193408