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50116320 = 253551289
BaseRepresentation
bin1011111100101…
…1011011100000
310111022011200000
42333023123200
5100312210240
64550100000
71145660502
oct277133340
9114264600
1050116320
1126320151
121494a600
13a4c9337
146927d72
1545ee430
hex2fcb6e0

50116320 has 144 divisors (see below), whose sum is σ = 177493680. Its totient is φ = 13353984.

The previous prime is 50116271. The next prime is 50116337. The reversal of 50116320 is 2361105.

50116320 is a `hidden beast` number, since 501 + 163 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 50116293 and 50116302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38236 + ... + 39524.

It is an arithmetic number, because the mean of its divisors is an integer number (1232595).

Almost surely, 250116320 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 50116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88746840).

50116320 is an abundant number, since it is smaller than the sum of its proper divisors (127377360).

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

50116320 is a wasteful number, since it uses less digits than its factorization.

50116320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 50116320 is about 7079.2880998021. The cubic root of 50116320 is about 368.6886129738.

Adding to 50116320 its reverse (2361105), we get a palindrome (52477425).

The spelling of 50116320 in words is "fifty million, one hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1289 1296 1440 1620 1944 2160 2430 2578 2592 3240 3867 3888 4320 4860 5156 6445 6480 7734 7776 9720 10312 11601 12890 12960 15468 19335 19440 20624 23202 25780 30936 34803 38670 38880 41248 46404 51560 58005 61872 69606 77340 92808 103120 104409 116010 123744 139212 154680 174015 185616 206240 208818 232020 278424 309360 313227 348030 371232 417636 464040 522045 556848 618720 626454 696060 835272 928080 1044090 1113696 1252908 1392120 1566135 1670544 1856160 2088180 2505816 2784240 3132270 3341088 4176360 5011632 5568480 6264540 8352720 10023264 12529080 16705440 25058160 50116320