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1042449792 = 273172353131
BaseRepresentation
bin111110001000101…
…000010110000000
32200122112221021120
4332020220112000
54113331343132
6251235152240
734555451136
oct7610502600
92618487246
101042449792
11495487a5a
12251145680
13137c80ac7
149c63b756
15617b902c
hex3e228580

1042449792 has 256 divisors, whose sum is σ = 3140881920. Its totient is φ = 304578560.

The previous prime is 1042449781. The next prime is 1042449823. The reversal of 1042449792 is 2979442401.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7957567 + ... + 7957697.

It is an arithmetic number, because the mean of its divisors is an integer number (12269070).

Almost surely, 21042449792 is an apocalyptic number.

1042449792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042449792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570440960).

1042449792 is an abundant number, since it is smaller than the sum of its proper divisors (2098432128).

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

1042449792 is a wasteful number, since it uses less digits than its factorization.

1042449792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1042449792 is about 32286.9910645139. The cubic root of 1042449792 is about 1013.9543023728.

The spelling of 1042449792 in words is "one billion, forty-two million, four hundred forty-nine thousand, seven hundred ninety-two".