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538563840 = 28351391009
BaseRepresentation
bin100000000110011…
…101010100000000
31101112101212200220
4200012131110000
52100333020330
6125235143040
716226500653
oct4006352400
91345355626
10538563840
11257006a91
12130444a80
1387768039
145175389a
1532434710
hex2019d500

538563840 has 144 divisors (see below), whose sum is σ = 1734129600. Its totient is φ = 142442496.

The previous prime is 538563833. The next prime is 538563869. The reversal of 538563840 is 48365835.

538563840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 538563792 and 538563801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533256 + ... + 534264.

Almost surely, 2538563840 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 538563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867064800).

538563840 is an abundant number, since it is smaller than the sum of its proper divisors (1195565760).

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

538563840 is a wasteful number, since it uses less digits than its factorization.

538563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 538563840 is about 23206.9782608594. The cubic root of 538563840 is about 813.6027295954.

The spelling of 538563840 in words is "five hundred thirty-eight million, five hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 139 160 192 240 256 278 320 384 417 480 556 640 695 768 834 960 1009 1112 1280 1390 1668 1920 2018 2085 2224 2780 3027 3336 3840 4036 4170 4448 5045 5560 6054 6672 8072 8340 8896 10090 11120 12108 13344 15135 16144 16680 17792 20180 22240 24216 26688 30270 32288 33360 35584 40360 44480 48432 53376 60540 64576 66720 80720 88960 96864 106752 121080 129152 133440 140251 161440 177920 193728 242160 258304 266880 280502 322880 387456 420753 484320 533760 561004 645760 701255 774912 841506 968640 1122008 1291520 1402510 1683012 1937280 2103765 2244016 2805020 3366024 3874560 4207530 4488032 5610040 6732048 8415060 8976064 11220080 13464096 16830120 17952128 22440160 26928192 33660240 35904256 44880320 53856384 67320480 89760640 107712768 134640960 179521280 269281920 538563840