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1007442 = 23297577
BaseRepresentation
bin11110101111101010010
31220011221200
43311331102
5224214232
633332030
711364102
oct3657522
91804850
101007442
116289a7
12407016
13293727
141c3202
1514d77c
hexf5f52

1007442 has 24 divisors (see below), whose sum is σ = 2209116. Its totient is φ = 331776.

The previous prime is 1007441. The next prime is 1007459. The reversal of 1007442 is 2447001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 904401 + 103041 = 951^2 + 321^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1007441) 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, 1458 + ... + 2034.

21007442 is an apocalyptic number.

1007442 is an abundant number, since it is smaller than the sum of its proper divisors (1201674).

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

1007442 is a wasteful number, since it uses less digits than its factorization.

1007442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1007442 is about 1003.7141027205. The cubic root of 1007442 is about 100.2474538276.

The spelling of 1007442 in words is "one million, seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 97 194 291 577 582 873 1154 1731 1746 3462 5193 10386 55969 111938 167907 335814 503721 1007442