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47202090 = 23513127953
BaseRepresentation
bin1011010000001…
…1111100101010
310021211010002120
42310003330222
544040431330
64403412110
71112132265
oct264037452
9107733076
1047202090
112470a6a1
1213984036
139a18a40
1463a9cdc
154225c10
hex2d03f2a

47202090 has 64 divisors (see below), whose sum is σ = 123088896. Its totient is φ = 11515392.

The previous prime is 47202083. The next prime is 47202091. The reversal of 47202090 is 9020274.

47202090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47202090.

It is not an unprimeable number, because it can be changed into a prime (47202091) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 49054 + ... + 50006.

It is an arithmetic number, because the mean of its divisors is an integer number (1923264).

Almost surely, 247202090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47202090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61544448).

47202090 is an abundant number, since it is smaller than the sum of its proper divisors (75886806).

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

47202090 is a wasteful number, since it uses less digits than its factorization.

47202090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 47202090 is about 6870.3777188740. The cubic root of 47202090 is about 361.3991079168.

The spelling of 47202090 in words is "forty-seven million, two hundred two thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 127 130 195 254 381 390 635 762 953 1270 1651 1905 1906 2859 3302 3810 4765 4953 5718 8255 9530 9906 12389 14295 16510 24765 24778 28590 37167 49530 61945 74334 121031 123890 185835 242062 363093 371670 605155 726186 1210310 1573403 1815465 3146806 3630930 4720209 7867015 9440418 15734030 23601045 47202090