Search a number
-
+
405423248 = 24294671871
BaseRepresentation
bin11000001010100…
…100010010010000
31001020212122010212
4120022210102100
51312242020443
6104121343252
713022016656
oct3012442220
91036778125
10405423248
1119893a53a
12b3937b28
1365cbcc19
143bbb6dd6
15258d5618
hex182a4490

405423248 has 40 divisors (see below), whose sum is σ = 814769280. Its totient is φ = 195198080.

The previous prime is 405423247. The next prime is 405423281. The reversal of 405423248 is 842324504.

It is not an unprimeable number, because it can be changed into a prime (405423247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215753 + ... + 217623.

It is an arithmetic number, because the mean of its divisors is an integer number (20369232).

Almost surely, 2405423248 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 405423248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407384640).

405423248 is an abundant number, since it is smaller than the sum of its proper divisors (409346032).

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

405423248 is a wasteful number, since it uses less digits than its factorization.

405423248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 405423248 is about 20135.1247326656. The cubic root of 405423248 is about 740.1212657367.

The spelling of 405423248 in words is "four hundred five million, four hundred twenty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 467 934 1868 1871 3736 3742 7472 7484 13543 14968 27086 29936 54172 54259 108344 108518 216688 217036 434072 868144 873757 1747514 3495028 6990056 13980112 25338953 50677906 101355812 202711624 405423248