Search a number
-
+
50291400 = 23352791061
BaseRepresentation
bin1011111111011…
…0001011001000
310111122001211110
42333312023020
5100333311100
64553530320
71150320105
oct277661310
9114561743
1050291400
112642a745
1214a139a0
13a55ac33
146971aac
154636250
hex2ff62c8

50291400 has 96 divisors (see below), whose sum is σ = 158025600. Its totient is φ = 13228800.

The previous prime is 50291357. The next prime is 50291407. The reversal of 50291400 is 419205.

It is not an unprimeable number, because it can be changed into a prime (50291407) 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, 46870 + ... + 47930.

It is an arithmetic number, because the mean of its divisors is an integer number (1646100).

Almost surely, 250291400 is an apocalyptic number.

50291400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50291400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79012800).

50291400 is an abundant number, since it is smaller than the sum of its proper divisors (107734200).

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

50291400 is a wasteful number, since it uses less digits than its factorization.

50291400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 50291400 is about 7091.6429690164. The cubic root of 50291400 is about 369.1174485309.

The spelling of 50291400 in words is "fifty million, two hundred ninety-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 120 150 158 200 237 300 316 395 474 600 632 790 948 1061 1185 1580 1896 1975 2122 2370 3160 3183 3950 4244 4740 5305 5925 6366 7900 8488 9480 10610 11850 12732 15800 15915 21220 23700 25464 26525 31830 42440 47400 53050 63660 79575 83819 106100 127320 159150 167638 212200 251457 318300 335276 419095 502914 636600 670552 838190 1005828 1257285 1676380 2011656 2095475 2514570 3352760 4190950 5029140 6286425 8381900 10058280 12572850 16763800 25145700 50291400