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471727056 = 24323894801
BaseRepresentation
bin11100000111011…
…111101111010000
31012212122012212110
4130013133233100
51431230231211
6114450425320
714455420353
oct3407375720
91185565773
10471727056
11222306579
12111b92240
1376966248
144691629a
152b630ea6
hex1c1dfbd0

471727056 has 80 divisors (see below), whose sum is σ = 1286167680. Its totient is φ = 148684800.

The previous prime is 471727051. The next prime is 471727073. The reversal of 471727056 is 650727174.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471727051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95856 + ... + 100656.

It is an arithmetic number, because the mean of its divisors is an integer number (16077096).

Almost surely, 2471727056 is an apocalyptic number.

471727056 is a gapful number since it is divisible by the number (46) 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 471727056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643083840).

471727056 is an abundant number, since it is smaller than the sum of its proper divisors (814440624).

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

471727056 is a wasteful number, since it uses less digits than its factorization.

471727056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 471727056 is about 21719.2784410532. The cubic root of 471727056 is about 778.4491737259.

The spelling of 471727056 in words is "four hundred seventy-one million, seven hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 89 92 138 178 184 267 276 356 368 534 552 712 1068 1104 1424 2047 2136 4094 4272 4801 6141 8188 9602 12282 14403 16376 19204 24564 28806 32752 38408 49128 57612 76816 98256 110423 115224 220846 230448 331269 427289 441692 662538 854578 883384 1281867 1325076 1709156 1766768 2563734 2650152 3418312 5127468 5300304 6836624 9827647 10254936 19655294 20509872 29482941 39310588 58965882 78621176 117931764 157242352 235863528 471727056