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442197 = 3277019
BaseRepresentation
bin1101011111101010101
3211110120200
41223331111
5103122242
613251113
73521130
oct1537525
9743520
10442197
11282258
12193a99
13126372
14b7217
158b04c
hex6bf55

442197 has 12 divisors (see below), whose sum is σ = 730080. Its totient is φ = 252648.

The previous prime is 442193. The next prime is 442201. The reversal of 442197 is 791244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (442193) and next prime (442201).

It is not a de Polignac number, because 442197 - 22 = 442193 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

442197 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 442197.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3447 + ... + 3572.

It is an arithmetic number, because the mean of its divisors is an integer number (60840).

2442197 is an apocalyptic number.

It is an amenable number.

442197 is a deficient number, since it is larger than the sum of its proper divisors (287883).

442197 is a wasteful number, since it uses less digits than its factorization.

442197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7032 (or 7029 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 442197 is about 664.9789470352. The cubic root of 442197 is about 76.1854313190.

The spelling of 442197 in words is "four hundred forty-two thousand, one hundred ninety-seven".

Divisors: 1 3 7 9 21 63 7019 21057 49133 63171 147399 442197