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1004242092 = 2237531911181
BaseRepresentation
bin111011110110111…
…000010010101100
32120222122210011120
4323312320102230
54024041221332
6243352220540
733612626340
oct7366702254
92528583146
101004242092
11475960a47
1224039a750
13130093cb9
1497533620
155d26d32c
hex3bdb84ac

1004242092 has 96 divisors (see below), whose sum is σ = 2745114624. Its totient is φ = 279801600.

The previous prime is 1004242013. The next prime is 1004242103. The reversal of 1004242092 is 2902424001.

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 31 ways as a sum of consecutive naturals, for example, 849742 + ... + 850922.

It is an arithmetic number, because the mean of its divisors is an integer number (28594944).

Almost surely, 21004242092 is an apocalyptic number.

1004242092 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 1004242092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372557312).

1004242092 is an abundant number, since it is smaller than the sum of its proper divisors (1740872532).

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

1004242092 is a wasteful number, since it uses less digits than its factorization.

1004242092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1004242092 is about 31689.7789831359. The cubic root of 1004242092 is about 1001.4120358829.

Adding to 1004242092 its reverse (2902424001), we get a palindrome (3906666093).

The spelling of 1004242092 in words is "one billion, four million, two hundred forty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 191 212 318 371 382 573 636 742 764 1113 1146 1181 1337 1484 2226 2292 2362 2674 3543 4011 4452 4724 5348 7086 8022 8267 10123 14172 16044 16534 20246 24801 30369 33068 40492 49602 60738 62593 70861 99204 121476 125186 141722 187779 212583 225571 250372 283444 375558 425166 438151 451142 676713 751116 850332 876302 902284 1314453 1353426 1578997 1752604 2628906 2706852 3157994 4736991 5257812 6315988 9473982 11955263 18947964 23910526 35865789 47821052 71731578 83686841 143463156 167373682 251060523 334747364 502121046 1004242092