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47291220 = 223252311423
BaseRepresentation
bin1011010001100…
…1101101010100
310021222122100200
42310121231110
544101304340
64405340500
71112653164
oct264315524
9107878320
1047291220
1124770659
1213a07730
139a4a492
1463d05a4
154242330
hex2d19b54

47291220 has 72 divisors (see below), whose sum is σ = 149700096. Its totient is φ = 12061632.

The previous prime is 47291203. The next prime is 47291239. The reversal of 47291220 is 2219274.

47291220 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, 1572 + ... + 9851.

It is an arithmetic number, because the mean of its divisors is an integer number (2079168).

Almost surely, 247291220 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 47291220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74850048).

47291220 is an abundant number, since it is smaller than the sum of its proper divisors (102408876).

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

47291220 is a wasteful number, since it uses less digits than its factorization.

47291220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11461 (or 11456 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 47291220 is about 6876.8612026127. The cubic root of 47291220 is about 361.6264371807.

The spelling of 47291220 in words is "forty-seven million, two hundred ninety-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 11423 22846 34269 45692 57115 68538 102807 114230 137076 171345 205614 228460 262729 342690 411228 514035 525458 685380 788187 1028070 1050916 1313645 1576374 2056140 2364561 2627290 3152748 3940935 4729122 5254580 7881870 9458244 11822805 15763740 23645610 47291220