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1045731126 = 231122949669
BaseRepresentation
bin111110010101001…
…001011100110110
32200212201122102110
4332111021130312
54120201344001
6251433351450
734625365536
oct7625113466
92625648373
101045731126
11497319300
12252268586
1313885c51b
149cc534c6
1561c163d6
hex3e549736

1045731126 has 48 divisors (see below), whose sum is σ = 2378199600. Its totient is φ = 305954880.

The previous prime is 1045731107. The next prime is 1045731131. The reversal of 1045731126 is 6211375401.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1045731093 and 1045731102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3781 + ... + 45888.

It is an arithmetic number, because the mean of its divisors is an integer number (49545825).

Almost surely, 21045731126 is an apocalyptic number.

1045731126 is an abundant number, since it is smaller than the sum of its proper divisors (1332468474).

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

1045731126 is a wasteful number, since it uses less digits than its factorization.

1045731126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49725 (or 49714 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1045731126 is about 32337.7662493871. The cubic root of 1045731126 is about 1015.0170675056.

The spelling of 1045731126 in words is "one billion, forty-five million, seven hundred thirty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 121 174 242 319 363 638 726 957 1914 3509 7018 10527 21054 49669 99338 149007 298014 546359 1092718 1440401 1639077 2880802 3278154 4321203 6009949 8642406 12019898 15844411 18029847 31688822 36059694 47533233 95066466 174288521 348577042 522865563 1045731126