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51241300 = 225211371259
BaseRepresentation
bin1100001101111…
…0000101010100
310120102022211221
43003132011110
5101104210200
65030140124
71161354355
oct303360524
9116368757
1051241300
1126a19390
12151b1644
13a8013c6
146b3bd2c
15477291a
hex30de154

51241300 has 72 divisors (see below), whose sum is σ = 124679520. Its totient is φ = 18115200.

The previous prime is 51241297. The next prime is 51241303. The reversal of 51241300 is 314215.

It is an interprime number because it is at equal distance from previous prime (51241297) and next prime (51241303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51241303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40071 + ... + 41329.

It is an arithmetic number, because the mean of its divisors is an integer number (1731660).

Almost surely, 251241300 is an apocalyptic number.

51241300 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 51241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62339760).

51241300 is an abundant number, since it is smaller than the sum of its proper divisors (73438220).

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

51241300 is a wasteful number, since it uses less digits than its factorization.

51241300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 51241300 is about 7158.3028714913. The cubic root of 51241300 is about 371.4269223652.

Adding to 51241300 its reverse (314215), we get a palindrome (51555515).

The spelling of 51241300 in words is "fifty-one million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 740 814 925 1100 1259 1628 1850 2035 2518 3700 4070 5036 6295 8140 10175 12590 13849 20350 25180 27698 31475 40700 46583 55396 62950 69245 93166 125900 138490 186332 232915 276980 346225 465830 512413 692450 931660 1024826 1164575 1384900 2049652 2329150 2562065 4658300 5124130 10248260 12810325 25620650 51241300