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50793120 = 2532575039
BaseRepresentation
bin1100000111000…
…0101010100000
310112120120001200
43001300222200
5101000334440
65012401200
71154506620
oct301605240
9115516050
1050793120
1126742694
1215016200
13a6a5401
146a62880
1546d4c30
hex3070aa0

50793120 has 144 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 11607552.

The previous prime is 50793107. The next prime is 50793139. The reversal of 50793120 is 2139705.

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

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, 7561 + ... + 12599.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 250793120 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 50793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

50793120 is an abundant number, since it is smaller than the sum of its proper divisors (147339360).

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

50793120 is a wasteful number, since it uses less digits than its factorization.

50793120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 50793120 is about 7126.9292125010. The cubic root of 50793120 is about 370.3408594956.

It can be divided in two parts, 50 and 793120, that added together give a triangular number (793170 = T1259).

The spelling of 50793120 in words is "fifty million, seven hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5039 5040 10078 10080 15117 20156 25195 30234 35273 40312 45351 50390 60468 70546 75585 80624 90702 100780 105819 120936 141092 151170 161248 176365 181404 201560 211638 226755 241872 282184 302340 317457 352730 362808 403120 423276 453510 483744 529095 564368 604680 634914 705460 725616 806240 846552 907020 1058190 1128736 1209360 1269828 1410920 1451232 1587285 1693104 1814040 2116380 2418720 2539656 2821840 3174570 3386208 3628080 4232760 5079312 5643680 6349140 7256160 8465520 10158624 12698280 16931040 25396560 50793120