Search a number
-
+
4471002090 = 233553397787
BaseRepresentation
bin1000010100111111…
…00001001111101010
3102112120222102212000
410022133201033222
533124034031330
62015353031430
7215536614342
oct41237411752
912476872760
104471002090
111994845055
12a493b5576
13563392989
14305b1bd22
151b27b1560
hex10a7e13ea

4471002090 has 128 divisors (see below), whose sum is σ = 12193701120. Its totient is φ = 1165342464.

The previous prime is 4471002079. The next prime is 4471002101. The reversal of 4471002090 is 902001744.

It is a happy number.

4471002090 is a `hidden beast` number, since 447 + 10 + 0 + 209 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4471002079) and next prime (4471002101).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5680677 + ... + 5681463.

It is an arithmetic number, because the mean of its divisors is an integer number (95263290).

Almost surely, 24471002090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4471002090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096850560).

4471002090 is an abundant number, since it is smaller than the sum of its proper divisors (7722699030).

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

4471002090 is a wasteful number, since it uses less digits than its factorization.

4471002090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1247 counting only the distinct ones).

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

The square root of 4471002090 is about 66865.5523419945. The cubic root of 4471002090 is about 1647.4097208603.

The spelling of 4471002090 in words is "four billion, four hundred seventy-one million, two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 397 477 530 787 794 795 954 1191 1431 1574 1590 1985 2361 2382 2385 2862 3573 3935 3970 4722 4770 5955 7083 7146 7155 7870 10719 11805 11910 14166 14310 17865 21041 21249 21438 23610 35415 35730 41711 42082 42498 53595 63123 70830 83422 105205 106245 107190 125133 126246 189369 208555 210410 212490 250266 312439 315615 375399 378738 417110 568107 624878 625665 631230 750798 937317 946845 1126197 1136214 1251330 1562195 1874634 1876995 1893690 2252394 2811951 2840535 3124390 3753990 4686585 5623902 5630985 5681070 8435853 9373170 11261970 14059755 16559267 16871706 28119510 33118534 42179265 49677801 82796335 84358530 99355602 149033403 165592670 248389005 298066806 447100209 496778010 745167015 894200418 1490334030 2235501045 4471002090