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47908890 = 232517173181
BaseRepresentation
bin1011011011000…
…0100000011010
310100011000122100
42312300200122
544231041030
64430504230
71121135031
oct266604032
9110130570
1047908890
1125052727
1214065076
139c05673
146511718
154315360
hex2db081a

47908890 has 96 divisors (see below), whose sum is σ = 133385616. Its totient is φ = 11888640.

The previous prime is 47908849. The next prime is 47908891. The reversal of 47908890 is 9880974.

It can be written as a sum of positive squares in 8 ways, for example, as 22838841 + 25070049 = 4779^2 + 5007^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (47908891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264600 + ... + 264780.

Almost surely, 247908890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47908890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66692808).

47908890 is an abundant number, since it is smaller than the sum of its proper divisors (85476726).

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

47908890 is a wasteful number, since it uses less digits than its factorization.

47908890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 47908890 is about 6921.6248092482. The cubic root of 47908890 is about 363.1940314586.

The spelling of 47908890 in words is "forty-seven million, nine hundred eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 173 181 255 306 346 362 510 519 543 765 865 905 1038 1086 1530 1557 1629 1730 1810 2595 2715 2941 3077 3114 3258 5190 5430 5882 6154 7785 8145 8823 9231 14705 15385 15570 16290 17646 18462 26469 27693 29410 30770 31313 44115 46155 52938 55386 62626 88230 92310 93939 132345 138465 156565 187878 264690 276930 281817 313130 469695 532321 563634 939390 1064642 1409085 1596963 2661605 2818170 3193926 4790889 5323210 7984815 9581778 15969630 23954445 47908890