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47418112 = 28747563
BaseRepresentation
bin1011010011100…
…0101100000000
310022020002102101
42310320230000
544114334422
64412200144
71114022140
oct264705400
9108202371
1047418112
1124847a25
1213a69054
139a93171
146424920
154269c27
hex2d38b00

47418112 has 72 divisors (see below), whose sum is σ = 110670336. Its totient is φ = 19854336.

The previous prime is 47418073. The next prime is 47418113. The reversal of 47418112 is 21181474.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (47418113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83943 + ... + 84505.

It is an arithmetic number, because the mean of its divisors is an integer number (1537088).

Almost surely, 247418112 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 47418112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55335168).

47418112 is an abundant number, since it is smaller than the sum of its proper divisors (63252224).

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

47418112 is an equidigital number, since it uses as much as digits as its factorization.

47418112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its digits is 1792, while the sum is 28.

The square root of 47418112 is about 6886.0810335052. The cubic root of 47418112 is about 361.9495875181.

Adding to 47418112 its reverse (21181474), we get a palindrome (68599586).

The spelling of 47418112 in words is "forty-seven million, four hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 256 329 376 448 563 658 752 896 1126 1316 1504 1792 2252 2632 3008 3941 4504 5264 6016 7882 9008 10528 12032 15764 18016 21056 26461 31528 36032 42112 52922 63056 72064 84224 105844 126112 144128 185227 211688 252224 370454 423376 504448 740908 846752 1008896 1481816 1693504 2963632 3387008 5927264 6774016 11854528 23709056 47418112