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838493136 = 2432133071459
BaseRepresentation
bin110001111110100…
…110001111010000
32011102202212100100
4301332212033100
53204123240021
6215111452400
726531034255
oct6176461720
92142685310
10838493136
113a0342338
121b4987100
1310493c8b0
147d50942c
154d92c626
hex31fa63d0

838493136 has 120 divisors (see below), whose sum is σ = 2537094560. Its totient is φ = 256981248.

The previous prime is 838493107. The next prime is 838493137. The reversal of 838493136 is 631394838.

It is a super-2 number, since 2×8384931362 = 1406141478238228992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 838493091 and 838493100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838493137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573975 + ... + 575433.

Almost surely, 2838493136 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 838493136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268547280).

838493136 is an abundant number, since it is smaller than the sum of its proper divisors (1698601424).

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

838493136 is a wasteful number, since it uses less digits than its factorization.

838493136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1784 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 838493136 is about 28956.7459497783. The cubic root of 838493136 is about 942.9742581007.

The spelling of 838493136 in words is "eight hundred thirty-eight million, four hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 307 312 468 614 624 921 936 1228 1459 1842 1872 2456 2763 2918 3684 3991 4377 4912 5526 5836 7368 7982 8754 11052 11672 11973 13131 14736 15964 17508 18967 22104 23344 23946 26262 31928 35016 35919 37934 44208 47892 52524 56901 63856 70032 71838 75868 95784 105048 113802 143676 151736 170703 191568 210096 227604 287352 303472 341406 447913 455208 574704 682812 895826 910416 1343739 1365624 1791652 2687478 2731248 3583304 4031217 5374956 5822869 7166608 8062434 10749912 11645738 16124868 17468607 21499824 23291476 32249736 34937214 46582952 52405821 64499472 69874428 93165904 104811642 139748856 209623284 279497712 419246568 838493136