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405132252 = 22374823003
BaseRepresentation
bin11000001001011…
…101001111011100
31001020022211222020
4120021131033130
51312203213002
6104111220140
713016365410
oct3011351734
91036284866
10405132252
11198760948
12b3817650
1365c1a635
143bb3cd40
15258792bc
hex1825d3dc

405132252 has 24 divisors (see below), whose sum is σ = 1080352896. Its totient is φ = 115752048.

The previous prime is 405132241. The next prime is 405132257. The reversal of 405132252 is 252231504.

It is a super-2 number, since 2×4051322522 = 328264283221183008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405132257) 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, 2411418 + ... + 2411585.

It is an arithmetic number, because the mean of its divisors is an integer number (45014704).

Almost surely, 2405132252 is an apocalyptic number.

405132252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

405132252 is an abundant number, since it is smaller than the sum of its proper divisors (675220644).

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

405132252 is a wasteful number, since it uses less digits than its factorization.

405132252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823017 (or 4823015 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 405132252 is about 20127.8973566540. The cubic root of 405132252 is about 739.9441472333.

Adding to 405132252 its reverse (252231504), we get a palindrome (657363756).

The spelling of 405132252 in words is "four hundred five million, one hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 4823003 9646006 14469009 19292012 28938018 33761021 57876036 67522042 101283063 135044084 202566126 405132252