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4058406 = 23211103199
BaseRepresentation
bin1111011110110100100110
321122012002100
433132310212
52014332111
6222552530
746332042
oct17366446
97565070
104058406
112322160
121438746
13ac1331
14779022
15552756
hex3ded26

4058406 has 48 divisors (see below), whose sum is σ = 9734400. Its totient is φ = 1211760.

The previous prime is 4058401. The next prime is 4058423. The reversal of 4058406 is 6048504.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4058406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4058401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20295 + ... + 20493.

It is an arithmetic number, because the mean of its divisors is an integer number (202800).

Almost surely, 24058406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4058406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867200).

4058406 is an abundant number, since it is smaller than the sum of its proper divisors (5675994).

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

4058406 is a wasteful number, since it uses less digits than its factorization.

4058406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4058406 is about 2014.5485846710. The cubic root of 4058406 is about 159.5089895124.

The spelling of 4058406 in words is "four million, fifty-eight thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 198 199 206 309 398 597 618 927 1133 1194 1791 1854 2189 2266 3399 3582 4378 6567 6798 10197 13134 19701 20394 20497 39402 40994 61491 122982 184473 225467 368946 450934 676401 1352802 2029203 4058406