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405521142 = 2313192311897
BaseRepresentation
bin11000001010111…
…100001011110110
31001021001121102120
4120022330023312
51312303134032
6104123420410
713022605245
oct3012741366
91037047376
10405521142
111989a7044
12b3984706
1366025650
143bc0095c
152590462c
hex182bc2f6

405521142 has 64 divisors (see below), whose sum is σ = 959454720. Its totient is φ = 113059584.

The previous prime is 405521087. The next prime is 405521153. The reversal of 405521142 is 241125504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28138 + ... + 40034.

It is an arithmetic number, because the mean of its divisors is an integer number (14991480).

Almost surely, 2405521142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405521142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479727360).

405521142 is an abundant number, since it is smaller than the sum of its proper divisors (553933578).

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

405521142 is a wasteful number, since it uses less digits than its factorization.

405521142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11957.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 405521142 is about 20137.5555120278. Note that the first 4 decimals coincide. The cubic root of 405521142 is about 740.1808311421.

Adding to 405521142 its reverse (241125504), we get a palindrome (646646646).

The spelling of 405521142 in words is "four hundred five million, five hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 19 23 26 38 39 46 57 69 78 114 138 247 299 437 494 598 741 874 897 1311 1482 1794 2622 5681 11362 11897 17043 23794 34086 35691 71382 154661 226043 273631 309322 452086 463983 547262 678129 820893 927966 1356258 1641786 2938559 3557203 5198989 5877118 7114406 8815677 10397978 10671609 15596967 17631354 21343218 31193934 67586857 135173714 202760571 405521142