Search a number
-
+
50785920 = 273352939
BaseRepresentation
bin1100000110111…
…0111010000000
310112120012012000
43001232322000
5101000122140
65012304000
71154446623
oct301567200
9115505160
1050785920
1126738239
1215012000
13a6a2053
146a5ddba
1546d2a30
hex306ee80

50785920 has 128 divisors (see below), whose sum is σ = 179928000. Its totient is φ = 13538304.

The previous prime is 50785913. The next prime is 50785927. The reversal of 50785920 is 2958705.

It is an interprime number because it is at equal distance from previous prime (50785913) and next prime (50785927).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (50785927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15811 + ... + 18749.

Almost surely, 250785920 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 50785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89964000).

50785920 is an abundant number, since it is smaller than the sum of its proper divisors (129142080).

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

50785920 is a wasteful number, since it uses less digits than its factorization.

50785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 50785920 is about 7126.4240682126. The cubic root of 50785920 is about 370.3233598802.

The spelling of 50785920 in words is "fifty million, seven hundred eighty-five thousand, nine 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 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 2939 3456 4320 5760 5878 8640 8817 11756 14695 17280 17634 23512 26451 29390 35268 44085 47024 52902 58780 70536 79353 88170 94048 105804 117560 132255 141072 158706 176340 188096 211608 235120 264510 282144 317412 352680 376192 396765 423216 470240 529020 564288 634824 705360 793530 846432 940480 1058040 1128576 1269648 1410720 1587060 1692864 1880960 2116080 2539296 2821440 3174120 3385728 4232160 5078592 5642880 6348240 8464320 10157184 12696480 16928640 25392960 50785920