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442452231 = 32133781643
BaseRepresentation
bin11010010111110…
…100100100000111
31010211112220100200
4122113310210013
51401231432411
6111523141543
713651532124
oct3227644407
91124486320
10442452231
11207830a01
121042148b3
1370886370
1442a9574b
1528c9be56
hex1a5f4907

442452231 has 12 divisors (see below), whose sum is σ = 688259208. Its totient is φ = 272278224.

The previous prime is 442452229. The next prime is 442452239. The reversal of 442452231 is 132254244.

442452231 is a `hidden beast` number, since 4 + 424 + 5 + 2 + 231 = 666.

It is not a de Polignac number, because 442452231 - 21 = 442452229 is a prime.

It is a super-3 number, since 3×4424522313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 442452195 and 442452204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442452239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1890705 + ... + 1890938.

It is an arithmetic number, because the mean of its divisors is an integer number (57354934).

Almost surely, 2442452231 is an apocalyptic number.

442452231 is a deficient number, since it is larger than the sum of its proper divisors (245806977).

442452231 is a wasteful number, since it uses less digits than its factorization.

442452231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781662 (or 3781659 counting only the distinct ones).

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

The square root of 442452231 is about 21034.5485095354. The cubic root of 442452231 is about 762.0008628341. Note that the first 3 decimals are identical.

The spelling of 442452231 in words is "four hundred forty-two million, four hundred fifty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 13 39 117 3781643 11344929 34034787 49161359 147484077 442452231