Search a number
-
+
50072112 = 2432893907
BaseRepresentation
bin1011111100000…
…0101000110000
310111012221000200
42333000220300
5100304301422
64545115200
71145414556
oct277005060
9114187020
1050072112
112629aa12
1214928b00
13a4b218c
146915bd6
1545e12ac
hex2fc0a30

50072112 has 60 divisors (see below), whose sum is σ = 141743160. Its totient is φ = 16498944.

The previous prime is 50072101. The next prime is 50072117. The reversal of 50072112 is 21127005.

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

It is not an unprimeable number, because it can be changed into a prime (50072117) 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 11 ways as a sum of consecutive naturals, for example, 10863 + ... + 14769.

It is an arithmetic number, because the mean of its divisors is an integer number (2362386).

Almost surely, 250072112 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 50072112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70871580).

50072112 is an abundant number, since it is smaller than the sum of its proper divisors (91671048).

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

50072112 is a wasteful number, since it uses less digits than its factorization.

50072112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 50072112 is about 7076.1650630833. The cubic root of 50072112 is about 368.5801733741.

Adding to 50072112 its reverse (21127005), we get a palindrome (71199117).

The spelling of 50072112 in words is "fifty million, seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 3907 4272 6408 7814 11721 12816 15628 23442 31256 35163 46884 62512 70326 93768 140652 187536 281304 347723 562608 695446 1043169 1390892 2086338 2781784 3129507 4172676 5563568 6259014 8345352 12518028 16690704 25036056 50072112