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51172416 = 2632731217
BaseRepresentation
bin1100001100110…
…1010001000000
310120021211100200
43003031101000
5101100004131
65024445200
71160646501
oct303152100
9116254320
1051172416
1126981659
1215179800
13a7a8c49
146b20ba8
15475c2e6
hex30cd440

51172416 has 84 divisors (see below), whose sum is σ = 148807932. Its totient is φ = 16809984.

The previous prime is 51172403. The next prime is 51172421. The reversal of 51172416 is 61427115.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23040000 + 28132416 = 4800^2 + 5304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51172416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41440 + ... + 42656.

It is an arithmetic number, because the mean of its divisors is an integer number (1771523).

Almost surely, 251172416 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 51172416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74403966).

51172416 is an abundant number, since it is smaller than the sum of its proper divisors (97635516).

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

51172416 is a wasteful number, since it uses less digits than its factorization.

51172416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1295 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 51172416 is about 7153.4897777239. The cubic root of 51172416 is about 371.2604105505.

It can be divided in two parts, 511 and 72416, that added together give a palindrome (72927).

The spelling of 51172416 in words is "fifty-one million, one hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 144 146 192 219 288 292 438 576 584 657 876 1168 1217 1314 1752 2336 2434 2628 3504 3651 4672 4868 5256 7008 7302 9736 10512 10953 14016 14604 19472 21024 21906 29208 38944 42048 43812 58416 77888 87624 88841 116832 175248 177682 233664 266523 350496 355364 533046 700992 710728 799569 1066092 1421456 1599138 2132184 2842912 3198276 4264368 5685824 6396552 8528736 12793104 17057472 25586208 51172416