Search a number
-
+
826804308 = 2231116737507
BaseRepresentation
bin110001010010000…
…000100001010100
32010121210000021210
4301102000201110
53143130214213
6214013141420
726326502121
oct6122004124
92117700253
10826804308
11394789350
121b0a8a870
131023a9425
147bb45748
154c8be0c3
hex31480854

826804308 has 48 divisors (see below), whose sum is σ = 2117251584. Its totient is φ = 249039840.

The previous prime is 826804289. The next prime is 826804313. The reversal of 826804308 is 803408628.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3291 + ... + 40797.

It is an arithmetic number, because the mean of its divisors is an integer number (44109408).

Almost surely, 2826804308 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 826804308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058625792).

826804308 is an abundant number, since it is smaller than the sum of its proper divisors (1290447276).

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

826804308 is a wasteful number, since it uses less digits than its factorization.

826804308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37692 (or 37690 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 826804308 is about 28754.2050490011. The cubic root of 826804308 is about 938.5719632251.

The spelling of 826804308 in words is "eight hundred twenty-six million, eight hundred four thousand, three hundred eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 167 334 501 668 1002 1837 2004 3674 5511 7348 11022 22044 37507 75014 112521 150028 225042 412577 450084 825154 1237731 1650308 2475462 4950924 6263669 12527338 18791007 25054676 37582014 68900359 75164028 137800718 206701077 275601436 413402154 826804308