Search a number
-
+
825811044 = 2232343149467
BaseRepresentation
bin110001001110001…
…110000001100100
32010112220112210020
4301032032001210
53142401423134
6213535555140
726315164242
oct6116160144
92115815706
10825811044
11394170073
121b068bab0
1310211c2b6
147b967792
154c774b49
hex3138e064

825811044 has 96 divisors (see below), whose sum is σ = 2075673600. Its totient is φ = 254905728.

The previous prime is 825811043. The next prime is 825811061. The reversal of 825811044 is 440118528.

It is a junction number, because it is equal to n+sod(n) for n = 825810996 and 825811014.

It is not an unprimeable number, because it can be changed into a prime (825811043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1768099 + ... + 1768565.

It is an arithmetic number, because the mean of its divisors is an integer number (21621600).

Almost surely, 2825811044 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 825811044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037836800).

825811044 is an abundant number, since it is smaller than the sum of its proper divisors (1249862556).

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

825811044 is a wasteful number, since it uses less digits than its factorization.

825811044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 825811044 is about 28736.9282283267. The cubic root of 825811044 is about 938.1959680448.

The spelling of 825811044 in words is "eight hundred twenty-five million, eight hundred eleven thousand, forty-four".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 149 172 258 276 298 447 467 516 596 894 934 989 1401 1788 1868 1978 2802 2967 3427 3956 5604 5934 6407 6854 10281 10741 11868 12814 13708 19221 20081 20562 21482 25628 32223 38442 40162 41124 42964 60243 64446 69583 76884 80324 120486 128892 139166 147361 208749 240972 278332 294722 417498 442083 461863 589444 834996 884166 923726 1385589 1600409 1768332 1847452 2771178 2992069 3200818 4801227 5542356 5984138 6401636 8976207 9602454 11968276 17952414 19204908 35904828 68817587 137635174 206452761 275270348 412905522 825811044