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47285106 = 2311331191
BaseRepresentation
bin1011010001100…
…0001101110010
310021222022222020
42310120031302
544101110411
64405252310
71112626311
oct264301562
9107868866
1047285106
1124767000
1213a04096
139a4776b
1463cc278
154240606
hex2d18372

47285106 has 64 divisors (see below), whose sum is σ = 107937792. Its totient is φ = 13794000.

The previous prime is 47285101. The next prime is 47285107. The reversal of 47285106 is 60158274.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47285101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247471 + ... + 247661.

It is an arithmetic number, because the mean of its divisors is an integer number (1686528).

Almost surely, 247285106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47285106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53968896).

47285106 is an abundant number, since it is smaller than the sum of its proper divisors (60652686).

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

47285106 is a wasteful number, since it uses less digits than its factorization.

47285106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 47285106 is about 6876.4166540430. The cubic root of 47285106 is about 361.6108523334.

The spelling of 47285106 in words is "forty-seven million, two hundred eighty-five thousand, one hundred six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 191 242 341 363 382 573 682 726 1023 1146 1331 2046 2101 2662 3751 3993 4202 5921 6303 7502 7986 11253 11842 12606 17763 22506 23111 35526 41261 46222 65131 69333 82522 123783 130262 138666 195393 247566 254221 390786 508442 716441 762663 1432882 1525326 2149323 4298646 7880851 15761702 23642553 47285106