Search a number
-
+
8050181840 = 245599471801
BaseRepresentation
bin1110111111101010…
…00000011011010000
3202210000211121102222
413133311000123100
5112441321304330
63410451200212
7403330262621
oct73765003320
922700747388
108050181840
113461132848
121687ba6068
139b3a6320c
1456520ba48
15321b0e0e5
hex1dfd406d0

8050181840 has 80 divisors (see below), whose sum is σ = 19064583360. Its totient is φ = 3160396800.

The previous prime is 8050181827. The next prime is 8050181849. The reversal of 8050181840 is 481810508.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 8050181840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8050181849) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4468940 + ... + 4470740.

It is an arithmetic number, because the mean of its divisors is an integer number (238307292).

Almost surely, 28050181840 is an apocalyptic number.

8050181840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8050181840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9532291680).

8050181840 is an abundant number, since it is smaller than the sum of its proper divisors (11014401520).

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

8050181840 is a wasteful number, since it uses less digits than its factorization.

8050181840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 35.

The square root of 8050181840 is about 89722.8055736110. The cubic root of 8050181840 is about 2004.1731065348.

The spelling of 8050181840 in words is "eight billion, fifty million, one hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 947 1180 1801 1894 2360 3602 3788 4720 4735 7204 7576 9005 9470 14408 15152 18010 18940 28816 36020 37880 55873 72040 75760 106259 111746 144080 212518 223492 279365 425036 446984 531295 558730 850072 893968 1062590 1117460 1700144 1705547 2125180 2234920 3411094 4250360 4469840 6822188 8500720 8527735 13644376 17055470 27288752 34110940 68221880 100627273 136443760 201254546 402509092 503136365 805018184 1006272730 1610036368 2012545460 4025090920 8050181840