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51516220 = 225719107181
BaseRepresentation
bin1100010010000…
…1001100111100
310120221021222011
43010201030330
5101142004340
65040101004
71163611030
oct304411474
9116837864
1051516220
1127096998
1215304764
13a899592
146bb01c0
1547c90ea
hex312133c

51516220 has 96 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 16485120.

The previous prime is 51516187. The next prime is 51516221. The reversal of 51516220 is 2261515.

It is a junction number, because it is equal to n+sod(n) for n = 51516191 and 51516200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51516221) 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, 284530 + ... + 284710.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 251516220 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 51516220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

51516220 is an abundant number, since it is smaller than the sum of its proper divisors (80572100).

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

51516220 is a wasteful number, since it uses less digits than its factorization.

51516220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 321 counting only the distinct ones).

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

The square root of 51516220 is about 7177.4800591851. The cubic root of 51516220 is about 372.0899982657.

Adding to 51516220 its reverse (2261515), we get a palindrome (53777735).

The spelling of 51516220 in words is "fifty-one million, five hundred sixteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 107 133 140 181 190 214 266 362 380 428 532 535 665 724 749 905 1070 1267 1330 1498 1810 2033 2140 2534 2660 2996 3439 3620 3745 4066 5068 6335 6878 7490 8132 10165 12670 13756 14231 14980 17195 19367 20330 24073 25340 28462 34390 38734 40660 48146 56924 68780 71155 77468 96292 96835 120365 135569 142310 193670 240730 271138 284620 367973 387340 481460 542276 677845 735946 1355690 1471892 1839865 2575811 2711380 3679730 5151622 7359460 10303244 12879055 25758110 51516220