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1050049938 = 237432772099
BaseRepresentation
bin111110100101100…
…111110110010010
32201011212001201110
4332211213312102
54122303044223
6252110114150
735010164040
oct7645476622
92634761643
101050049938
114997a9073
122537ab956
13139712232
149d659390
15622bad93
hex3e967d92

1050049938 has 64 divisors (see below), whose sum is σ = 2465971200. Its totient is φ = 291840192.

The previous prime is 1050049937. The next prime is 1050049943. The reversal of 1050049938 is 8399400501.

It is a super-3 number, since 3×10500499383 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1050049896 and 1050049905.

It is not an unprimeable number, because it can be changed into a prime (1050049937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499213 + ... + 501311.

It is an arithmetic number, because the mean of its divisors is an integer number (38530800).

Almost surely, 21050049938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050049938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232985600).

1050049938 is an abundant number, since it is smaller than the sum of its proper divisors (1415921262).

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

1050049938 is a wasteful number, since it uses less digits than its factorization.

1050049938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1050049938 is about 32404.4740429466. The cubic root of 1050049938 is about 1016.4124698297.

The spelling of 1050049938 in words is "one billion, fifty million, forty-nine thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 277 301 554 602 831 903 1662 1806 1939 2099 3878 4198 5817 6297 11634 11911 12594 14693 23822 29386 35733 44079 71466 83377 88158 90257 166754 180514 250131 270771 500262 541542 581423 631799 1162846 1263598 1744269 1895397 3488538 3790794 4069961 8139922 12209883 24419766 25001189 50002378 75003567 150007134 175008323 350016646 525024969 1050049938