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442232397 = 32291694377
BaseRepresentation
bin11010010110111…
…110111001001101
31010211010201210200
4122112332321031
51401202414042
6111514324113
713646625165
oct3226767115
91124121720
10442232397
112076a0822
12104129639
137080a299
1442a395a5
1528c56c4c
hex1a5bee4d

442232397 has 12 divisors (see below), whose sum is σ = 660807420. Its totient is φ = 284655168.

The previous prime is 442232387. The next prime is 442232411. The reversal of 442232397 is 793232244.

It is a happy number.

442232397 is a `hidden beast` number, since 44 + 223 + 2 + 397 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 180472356 + 261760041 = 13434^2 + 16179^2 .

It is not a de Polignac number, because 442232397 - 26 = 442232333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442232347) 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, 846928 + ... + 847449.

It is an arithmetic number, because the mean of its divisors is an integer number (55067285).

Almost surely, 2442232397 is an apocalyptic number.

It is an amenable number.

442232397 is a deficient number, since it is larger than the sum of its proper divisors (218575023).

442232397 is a wasteful number, since it uses less digits than its factorization.

442232397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694412 (or 1694409 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 442232397 is about 21029.3223143305. The cubic root of 442232397 is about 761.8746409606.

The spelling of 442232397 in words is "four hundred forty-two million, two hundred thirty-two thousand, three hundred ninety-seven".

Divisors: 1 3 9 29 87 261 1694377 5083131 15249393 49136933 147410799 442232397