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405444132 = 223211262337
BaseRepresentation
bin11000001010101…
…001011000100100
31001020220200210100
4120022221120210
51312243203012
6104122024100
713022134602
oct3012513044
91036820710
10405444132
111989541a5
12b3948030
1365cc9592
143bbc0872
15258db8dc
hex182a9624

405444132 has 18 divisors (see below), whose sum is σ = 1024872758. Its totient is φ = 135148032.

The previous prime is 405444107. The next prime is 405444167. The reversal of 405444132 is 231444504.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 372335616 + 33108516 = 19296^2 + 5754^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 405444096 and 405444105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5631133 + ... + 5631204.

Almost surely, 2405444132 is an apocalyptic number.

It is an amenable number.

405444132 is an abundant number, since it is smaller than the sum of its proper divisors (619428626).

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

405444132 is a wasteful number, since it uses less digits than its factorization.

405444132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11262347 (or 11262342 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 405444132 is about 20135.6433222284. The cubic root of 405444132 is about 740.1339737953.

Adding to 405444132 its reverse (231444504), we get a palindrome (636888636).

The spelling of 405444132 in words is "four hundred five million, four hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 11262337 22524674 33787011 45049348 67574022 101361033 135148044 202722066 405444132