Search a number
-
+
51416500 = 22531723263
BaseRepresentation
bin1100010000100…
…0110110110100
310120202020011211
43010020312310
5101130312000
65034011204
71163014222
oct304106664
9116666154
1051416500
1127028a83
1215276b04
13a863085
146b85b12
1547a97ba
hex3108db4

51416500 has 96 divisors (see below), whose sum is σ = 124540416. Its totient is φ = 18444800.

The previous prime is 51416471. The next prime is 51416503. The reversal of 51416500 is 561415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51416503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195369 + ... + 195631.

It is an arithmetic number, because the mean of its divisors is an integer number (1297296).

Almost surely, 251416500 is an apocalyptic number.

51416500 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 51416500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62270208).

51416500 is an abundant number, since it is smaller than the sum of its proper divisors (73123916).

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

51416500 is a wasteful number, since it uses less digits than its factorization.

51416500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 51416500 is about 7170.5299664669. The cubic root of 51416500 is about 371.8497581907.

Adding to 51416500 its reverse (561415), we get a palindrome (51977915).

The spelling of 51416500 in words is "fifty-one million, four hundred sixteen thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 125 170 230 250 263 340 391 425 460 500 526 575 782 850 1052 1150 1315 1564 1700 1955 2125 2300 2630 2875 3910 4250 4471 5260 5750 6049 6575 7820 8500 8942 9775 11500 12098 13150 17884 19550 22355 24196 26300 30245 32875 39100 44710 48875 60490 65750 89420 97750 102833 111775 120980 131500 151225 195500 205666 223550 302450 411332 447100 514165 558875 604900 756125 1028330 1117750 1512250 2056660 2235500 2570825 3024500 5141650 10283300 12854125 25708250 51416500