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47420700 = 22352315099
BaseRepresentation
bin1011010011100…
…1010100011100
310022020012222020
42310321110130
544114430300
64412220140
71114032525
oct264712434
9108205866
1047420700
1124849968
1213a6a650
139a943b2
14642584c
15426a8a0
hex2d3951c

47420700 has 72 divisors (see below), whose sum is σ = 141657600. Its totient is φ = 12235200.

The previous prime is 47420699. The next prime is 47420749. The reversal of 47420700 is 702474.

47420700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6751 + ... + 11849.

Almost surely, 247420700 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 47420700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70828800).

47420700 is an abundant number, since it is smaller than the sum of its proper divisors (94236900).

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

47420700 is a wasteful number, since it uses less digits than its factorization.

47420700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 47420700 is about 6886.2689462437. The cubic root of 47420700 is about 361.9561722628.

The spelling of 47420700 in words is "forty-seven million, four hundred twenty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 5099 9300 10198 15297 20396 25495 30594 50990 61188 76485 101980 127475 152970 158069 254950 305940 316138 382425 474207 509900 632276 764850 790345 948414 1529700 1580690 1896828 2371035 3161380 3951725 4742070 7903450 9484140 11855175 15806900 23710350 47420700