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440401986 = 232118120717
BaseRepresentation
bin11010010000000…
…000000001000010
31010200200201221200
4122100000001002
51400220330421
6111411202030
713625232543
oct3220000102
91120621850
10440401986
11206660592
121035a6316
13703190bb
14426c04ca
15289e4726
hex1a400042

440401986 has 24 divisors (see below), whose sum is σ = 955058364. Its totient is φ = 146669280.

The previous prime is 440401979. The next prime is 440401991. The reversal of 440401986 is 689104044.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 438106761 + 2295225 = 20931^2 + 1515^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 440401986.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10900 + ... + 31616.

Almost surely, 2440401986 is an apocalyptic number.

440401986 is an abundant number, since it is smaller than the sum of its proper divisors (514656378).

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

440401986 is a wasteful number, since it uses less digits than its factorization.

440401986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21906 (or 21903 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 440401986 is about 20985.7567411804. The cubic root of 440401986 is about 760.8220479601.

The spelling of 440401986 in words is "four hundred forty million, four hundred one thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 1181 2362 3543 7086 10629 20717 21258 41434 62151 124302 186453 372906 24466777 48933554 73400331 146800662 220200993 440401986