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51334640 = 2457292109
BaseRepresentation
bin1100001111010…
…0110111110000
310120121001212222
43003310313300
5101120202030
65032140212
71162223450
oct303646760
9116531788
1051334640
1126a82525
1215237668
13a834a36
146b63d60
1547903e5
hex30f4df0

51334640 has 120 divisors (see below), whose sum is σ = 142565280. Its totient is φ = 16837632.

The previous prime is 51334609. The next prime is 51334649. The reversal of 51334640 is 4643315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51334649) 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, 470906 + ... + 471014.

It is an arithmetic number, because the mean of its divisors is an integer number (1188044).

Almost surely, 251334640 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 51334640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71282640).

51334640 is an abundant number, since it is smaller than the sum of its proper divisors (91230640).

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

51334640 is a wasteful number, since it uses less digits than its factorization.

51334640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 51334640 is about 7164.8196069406. The cubic root of 51334640 is about 371.6523132085.

Adding to 51334640 its reverse (4643315), we get a palindrome (55977955).

It can be divided in two parts, 513 and 34640, that added together give a palindrome (35153).

The spelling of 51334640 in words is "fifty-one million, three hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 109 112 116 140 145 203 218 232 280 290 406 436 464 545 560 580 763 812 841 872 1015 1090 1160 1526 1624 1682 1744 2030 2180 2320 3052 3161 3248 3364 3815 4060 4205 4360 5887 6104 6322 6728 7630 8120 8410 8720 11774 12208 12644 13456 15260 15805 16240 16820 22127 23548 25288 29435 30520 31610 33640 44254 47096 50576 58870 61040 63220 67280 88508 91669 94192 110635 117740 126440 177016 183338 221270 235480 252880 354032 366676 442540 458345 470960 641683 733352 885080 916690 1283366 1466704 1770160 1833380 2566732 3208415 3666760 5133464 6416830 7333520 10266928 12833660 25667320 51334640