Search a number
-
+
8065828050 = 2352759130199
BaseRepresentation
bin1111000001100001…
…01100010011010010
3202211010021112000020
413200300230103102
5113004322444200
63412210404310
7403610256450
oct74060542322
922733245006
108065828050
113469a49aa5
121691290696
139b7080a27
145673219d0
1532319eea0
hex1e0c2c4d2

8065828050 has 96 divisors (see below), whose sum is σ = 23248512000. Its totient is φ = 1812356160.

The previous prime is 8065828049. The next prime is 8065828081. The reversal of 8065828050 is 508285608.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8065827993 and 8065828011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3150 + ... + 127049.

It is an arithmetic number, because the mean of its divisors is an integer number (242172000).

Almost surely, 28065828050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8065828050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624256000).

8065828050 is an abundant number, since it is smaller than the sum of its proper divisors (15182683950).

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

8065828050 is a wasteful number, since it uses less digits than its factorization.

8065828050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130280 (or 130275 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 8065828050 is about 89809.9551831533. The cubic root of 8065828050 is about 2005.4706929485.

The spelling of 8065828050 in words is "eight billion, sixty-five million, eight hundred twenty-eight thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 59 70 75 105 118 150 175 177 210 295 350 354 413 525 590 826 885 1050 1239 1475 1770 2065 2478 2950 4130 4425 6195 8850 10325 12390 20650 30975 61950 130199 260398 390597 650995 781194 911393 1301990 1822786 1952985 2734179 3254975 3905970 4556965 5468358 6509950 7681741 9113930 9764925 13670895 15363482 19529850 22784825 23045223 27341790 38408705 45569650 46090446 53772187 68354475 76817410 107544374 115226115 136708950 161316561 192043525 230452230 268860935 322633122 384087050 537721870 576130575 806582805 1152261150 1344304675 1613165610 2688609350 4032914025 8065828050