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1997442 = 232110969
BaseRepresentation
bin111100111101010000010
310202110222100
413213222002
51002404232
6110451230
722656306
oct7475202
93673870
101997442
111144787
12803b16
1354c225
1439dd06
15296c7c
hex1e7a82

1997442 has 12 divisors (see below), whose sum is σ = 4327830. Its totient is φ = 665808.

The previous prime is 1997441. The next prime is 1997459. The reversal of 1997442 is 2447991.

It can be written as a sum of positive squares in only one way, i.e., 1929321 + 68121 = 1389^2 + 261^2 .

It is a d-powerful number, because it can be written as 1 + 93 + 95 + 77 + 48 + 410 + 23 .

It is a junction number, because it is equal to n+sod(n) for n = 1997397 and 1997406.

It is not an unprimeable number, because it can be changed into a prime (1997441) by changing a digit.

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, 55467 + ... + 55502.

21997442 is an apocalyptic number.

1997442 is an abundant number, since it is smaller than the sum of its proper divisors (2330388).

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

1997442 is a wasteful number, since it uses less digits than its factorization.

1997442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110977 (or 110974 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1997442 is about 1413.3088834363. The cubic root of 1997442 is about 125.9383674388.

It can be divided in two parts, 19 and 97442, that added together give a triangular number (97461 = T441).

The spelling of 1997442 in words is "one million, nine hundred ninety-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 110969 221938 332907 665814 998721 1997442