Search a number
-
+
50042160 = 2432579929
BaseRepresentation
bin1011111011100…
…1010100110000
310111011101221100
42332321110300
5100302322120
64544324400
71145231340
oct276712460
9114141840
1050042160
112627a463
1214913700
13a4a165c
146908d20
1545d7490
hex2fb9530

50042160 has 120 divisors (see below), whose sum is σ = 192085920. Its totient is φ = 11437056.

The previous prime is 50042147. The next prime is 50042171. The reversal of 50042160 is 6124005.

It is a happy number.

50042160 is a `hidden beast` number, since 500 + 4 + 2 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×500421603 (a number of 24 digits) contains 333 as substring.

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

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, 76 + ... + 10004.

It is an arithmetic number, because the mean of its divisors is an integer number (1600716).

Almost surely, 250042160 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 50042160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96042960).

50042160 is an abundant number, since it is smaller than the sum of its proper divisors (142043760).

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

50042160 is a wasteful number, since it uses less digits than its factorization.

50042160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9955 (or 9946 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 50042160 is about 7074.0483458908. The cubic root of 50042160 is about 368.5066666197.

Adding to 50042160 its reverse (6124005), we get a palindrome (56166165).

The spelling of 50042160 in words is "fifty million, forty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 9929 19858 29787 39716 49645 59574 69503 79432 89361 99290 119148 139006 148935 158864 178722 198580 208509 238296 278012 297870 347515 357444 397160 417018 446805 476592 556024 595740 625527 695030 714888 794320 834036 893610 1042545 1112048 1191480 1251054 1390060 1429776 1668072 1787220 2085090 2382960 2502108 2780120 3127635 3336144 3574440 4170180 5004216 5560240 6255270 7148880 8340360 10008432 12510540 16680720 25021080 50042160