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50522112 = 211322741
BaseRepresentation
bin1100000010111…
…0100000000000
310112001210022100
43000232200000
5100413201422
65002510400
71152300534
oct300564000
9115053270
1050522112
1126578013
1214b05400
13a60bc54
1469d1bc4
15467e7ac
hex302e800

50522112 has 72 divisors (see below), whose sum is σ = 145970370. Its totient is φ = 16834560.

The previous prime is 50522111. The next prime is 50522123. The reversal of 50522112 is 21122505.

It can be written as a sum of positive squares in only one way, i.e., 46457856 + 4064256 = 6816^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (50522111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17062 + ... + 19802.

Almost surely, 250522112 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 50522112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72985185).

50522112 is an abundant number, since it is smaller than the sum of its proper divisors (95448258).

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

50522112 is a wasteful number, since it uses less digits than its factorization.

50522112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 50522112 is about 7107.8908263985. The cubic root of 50522112 is about 369.6810301902.

Adding to 50522112 its reverse (21122505), we get a palindrome (71644617).

The spelling of 50522112 in words is "fifty million, five hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2741 3072 4608 5482 6144 8223 9216 10964 16446 18432 21928 24669 32892 43856 49338 65784 87712 98676 131568 175424 197352 263136 350848 394704 526272 701696 789408 1052544 1403392 1578816 2105088 2806784 3157632 4210176 5613568 6315264 8420352 12630528 16840704 25261056 50522112