Search a number
-
+
51634300 = 2252836221
BaseRepresentation
bin1100010011111…
…0000001111100
310121011021221111
43010332001330
5101204244200
65042411404
71164612214
oct304760174
9117137844
1051634300
1127167683
1215360b64
13a90b253
146c01244
1547ee0ba
hex313e07c

51634300 has 36 divisors (see below), whose sum is σ = 113414616. Its totient is φ = 20401600.

The previous prime is 51634279. The next prime is 51634301. The reversal of 51634300 is 343615.

51634300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×516343002 = 5332201872980000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51634301) 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 11 ways as a sum of consecutive naturals, for example, 5190 + ... + 11410.

It is an arithmetic number, because the mean of its divisors is an integer number (3150406).

Almost surely, 251634300 is an apocalyptic number.

51634300 is a gapful number since it is divisible by the number (50) 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 51634300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56707308).

51634300 is an abundant number, since it is smaller than the sum of its proper divisors (61780316).

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

51634300 is a wasteful number, since it uses less digits than its factorization.

51634300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 51634300 is about 7185.7010792267. The cubic root of 51634300 is about 372.3740697090.

Adding to 51634300 its reverse (343615), we get a palindrome (51977915).

The spelling of 51634300 in words is "fifty-one million, six hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 4150 6221 8300 12442 24884 31105 62210 124420 155525 311050 516343 622100 1032686 2065372 2581715 5163430 10326860 12908575 25817150 51634300