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641833812 = 223273283863
BaseRepresentation
bin100110010000011…
…001101101010100
31122201201112110200
4212100121231110
52303302140222
6143404420500
721622332414
oct4620315524
91581645420
10641833812
112aa331274
1215ab47730
13a2c85029
1461356644
153b532eac
hex26419b54

641833812 has 72 divisors (see below), whose sum is σ = 1652361984. Its totient is φ = 210024576.

The previous prime is 641833811. The next prime is 641833831. The reversal of 641833812 is 218338146.

641833812 is a `hidden beast` number, since 641 + 8 + 3 + 3 + 8 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641833811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743293 + ... + 744155.

It is an arithmetic number, because the mean of its divisors is an integer number (22949472).

Almost surely, 2641833812 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 641833812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826180992).

641833812 is an abundant number, since it is smaller than the sum of its proper divisors (1010528172).

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

641833812 is a wasteful number, since it uses less digits than its factorization.

641833812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1224 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 641833812 is about 25334.4392477907. The cubic root of 641833812 is about 862.5961803265.

The spelling of 641833812 in words is "six hundred forty-one million, eight hundred thirty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 283 292 438 566 657 849 863 876 1132 1314 1698 1726 2547 2589 2628 3396 3452 5094 5178 7767 10188 10356 15534 20659 31068 41318 61977 62999 82636 123954 125998 185931 188997 244229 247908 251996 371862 377994 488458 566991 732687 743724 755988 976916 1133982 1465374 2198061 2267964 2930748 4396122 8792244 17828717 35657434 53486151 71314868 106972302 160458453 213944604 320916906 641833812