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1042133248 = 2813487643
BaseRepresentation
bin111110000111011…
…011000100000000
32200121221212001201
4332013123010000
54113241230443
6251224310544
734552662232
oct7607330400
92617855051
101042133248
11495291152
12251012454
13137b9c9c0
149c598252
156175534d
hex3e1db100

1042133248 has 72 divisors (see below), whose sum is σ = 2248301888. Its totient is φ = 479250432.

The previous prime is 1042133233. The next prime is 1042133249. The reversal of 1042133248 is 8423312401.

It is not an unprimeable number, because it can be changed into a prime (1042133249) 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 7 ways as a sum of consecutive naturals, for example, 1620415 + ... + 1621057.

Almost surely, 21042133248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042133248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124150944).

1042133248 is an abundant number, since it is smaller than the sum of its proper divisors (1206168640).

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

1042133248 is an equidigital number, since it uses as much as digits as its factorization.

1042133248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1042133248 is about 32282.0886560953. The cubic root of 1042133248 is about 1013.8516615724.

Adding to 1042133248 its reverse (8423312401), we get a palindrome (9465445649).

The spelling of 1042133248 in words is "one billion, forty-two million, one hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 487 643 832 974 1286 1664 1948 2572 3328 3896 5144 6331 7792 8359 10288 12662 15584 16718 20576 25324 31168 33436 41152 50648 62336 66872 82304 101296 124672 133744 164608 202592 267488 313141 405184 534976 626282 810368 1069952 1252564 1620736 2139904 2505128 4070833 5010256 8141666 10020512 16283332 20041024 32566664 40082048 65133328 80164096 130266656 260533312 521066624 1042133248