Search a number
-
+
84820446 = 23417191621
BaseRepresentation
bin1010000111001…
…00000111011110
312220121022210000
411003210013132
5133203223241
612225555130
72046650634
oct503440736
9186538700
1084820446
1143973947
12244a5aa6
131475a519
14b39d354
1576a6eb6
hex50e41de

84820446 has 80 divisors (see below), whose sum is σ = 211962960. Its totient is φ = 25194240.

The previous prime is 84820423. The next prime is 84820451. The reversal of 84820446 is 64402848.

It is a self number, because there is not a number n which added to its sum of digits gives 84820446.

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 39 ways as a sum of consecutive naturals, for example, 51516 + ... + 53136.

It is an arithmetic number, because the mean of its divisors is an integer number (2649537).

Almost surely, 284820446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84820446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105981480).

84820446 is an abundant number, since it is smaller than the sum of its proper divisors (127142514).

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

84820446 is a wasteful number, since it uses less digits than its factorization.

84820446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 84820446 is about 9209.8016265281. The cubic root of 84820446 is about 439.3731535298.

The spelling of 84820446 in words is "eighty-four million, eight hundred twenty thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 153 162 171 306 323 342 459 513 646 918 969 1026 1377 1539 1621 1938 2754 2907 3078 3242 4863 5814 8721 9726 14589 17442 26163 27557 29178 30799 43767 52326 55114 61598 82671 87534 92397 131301 165342 184794 248013 262602 277191 496026 523583 554382 744039 831573 1047166 1488078 1570749 1663146 2232117 2494719 3141498 4464234 4712247 4989438 9424494 14136741 28273482 42410223 84820446