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1049242896 = 24351320759
BaseRepresentation
bin111110100010100…
…010110100010000
32201010100001200000
4332202202310100
54122101233041
6252040530000
735000263122
oct7642426420
92633301600
101049242896
114992a7799
12253480900
131394bbab0
149d4c9212
15621abbb6
hex3e8a2d10

1049242896 has 120 divisors (see below), whose sum is σ = 3279581760. Its totient is φ = 322828416.

The previous prime is 1049242891. The next prime is 1049242897. The reversal of 1049242896 is 6982429401.

It is a super-2 number, since 2×10492428962 = 2201821309612933632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1049242891) 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 23 ways as a sum of consecutive naturals, for example, 40165 + ... + 60923.

It is an arithmetic number, because the mean of its divisors is an integer number (27329848).

Almost surely, 21049242896 is an apocalyptic number.

1049242896 is a gapful number since it is divisible by the number (16) 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 1049242896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639790880).

1049242896 is an abundant number, since it is smaller than the sum of its proper divisors (2230338864).

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

1049242896 is a wasteful number, since it uses less digits than its factorization.

1049242896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20795 (or 20777 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1049242896 is about 32392.0190170357. The cubic root of 1049242896 is about 1016.1520067274.

The spelling of 1049242896 in words is "one billion, forty-nine million, two hundred forty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5616 6318 8424 12636 16848 20759 25272 41518 50544 62277 83036 124554 166072 186831 249108 269867 332144 373662 498216 539734 560493 747324 809601 996432 1079468 1120986 1494648 1619202 1681479 2158936 2241972 2428803 2989296 3238404 3362958 4317872 4483944 4857606 5044437 6476808 6725916 7286409 8967888 9715212 10088874 12953616 13451832 14572818 19430424 20177748 21859227 26903664 29145636 38860848 40355496 43718454 58291272 65577681 80710992 87436908 116582544 131155362 174873816 262310724 349747632 524621448 1049242896