Search a number
-
+
80826300 = 223252312897
BaseRepresentation
bin1001101000101…
…00111110111100
312122002101211200
410310110332330
5131142420200
612004215500
72001004122
oct464247674
9178071750
1080826300
1141695aa5
122309a590
131398c519
14aa3d912
157168800
hex4d14fbc

80826300 has 108 divisors (see below), whose sum is σ = 261608256. Its totient is φ = 20851200.

The previous prime is 80826289. The next prime is 80826307. The reversal of 80826300 is 362808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80826307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26452 + ... + 29348.

Almost surely, 280826300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80826300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130804128).

80826300 is an abundant number, since it is smaller than the sum of its proper divisors (180781956).

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

80826300 is a wasteful number, since it uses less digits than its factorization.

80826300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 80826300 is about 8990.3448209732. The cubic root of 80826300 is about 432.3653673410.

The spelling of 80826300 in words is "eighty million, eight hundred twenty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 150 155 180 186 225 279 300 310 372 450 465 558 620 775 900 930 1116 1395 1550 1860 2325 2790 2897 3100 4650 5580 5794 6975 8691 9300 11588 13950 14485 17382 26073 27900 28970 34764 43455 52146 57940 72425 86910 89807 104292 130365 144850 173820 179614 217275 260730 269421 289700 359228 434550 449035 521460 538842 651825 808263 869100 898070 1077684 1303650 1347105 1616526 1796140 2245175 2607300 2694210 3233052 4041315 4490350 5388420 6735525 8082630 8980700 13471050 16165260 20206575 26942100 40413150 80826300