Search a number
-
+
51998004 = 22334111743
BaseRepresentation
bin1100011001011…
…0110100110100
310121211202212000
43012112310310
5101302414004
65054255300
71200655452
oct306266464
9117752760
1051998004
1127395963
12154b7530
13aa07966
146c979d2
154871c39
hex3196d34

51998004 has 48 divisors (see below), whose sum is σ = 138109440. Its totient is φ = 16908480.

The previous prime is 51997949. The next prime is 51998029. The reversal of 51998004 is 40089915.

51998004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51998004.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1444 + ... + 10299.

It is an arithmetic number, because the mean of its divisors is an integer number (2877280).

Almost surely, 251998004 is an apocalyptic number.

51998004 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51998004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69054720).

51998004 is an abundant number, since it is smaller than the sum of its proper divisors (86111436).

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

51998004 is a wasteful number, since it uses less digits than its factorization.

51998004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11797 (or 11789 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 51998004 is about 7210.9641519009. The cubic root of 51998004 is about 373.2463399204.

It can be divided in two parts, 5199 and 8004, that added together give a triangular number (13203 = T162).

The spelling of 51998004 in words is "fifty-one million, nine hundred ninety-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 11743 23486 35229 46972 70458 105687 140916 211374 317061 422748 481463 634122 962926 1268244 1444389 1925852 2888778 4333167 5777556 8666334 12999501 17332668 25999002 51998004