Search a number
-
+
51203916 = 223241113307
BaseRepresentation
bin1100001101010…
…0111101001100
310120100102120100
43003110331030
5101102011131
65025251100
71161140361
oct303247514
9116312510
1051203916
11269a3295
1215193a90
13a7ba39a
146b2c468
1547667e6
hex30d4f4c

51203916 has 72 divisors (see below), whose sum is σ = 134198064. Its totient is φ = 16450560.

The previous prime is 51203899. The next prime is 51203921. The reversal of 51203916 is 61930215.

51203916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51203916.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166635 + ... + 166941.

It is an arithmetic number, because the mean of its divisors is an integer number (1863862).

Almost surely, 251203916 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 51203916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67099032).

51203916 is an abundant number, since it is smaller than the sum of its proper divisors (82994148).

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

51203916 is a wasteful number, since it uses less digits than its factorization.

51203916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 51203916 is about 7155.6911615860. The cubic root of 51203916 is about 371.3365733549.

The spelling of 51203916 in words is "fifty-one million, two hundred three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 113 123 164 226 246 307 339 369 452 492 614 678 738 921 1017 1228 1356 1476 1842 2034 2763 3684 4068 4633 5526 9266 11052 12587 13899 18532 25174 27798 34691 37761 41697 50348 55596 69382 75522 83394 104073 113283 138764 151044 166788 208146 226566 312219 416292 453132 624438 1248876 1422331 2844662 4266993 5689324 8533986 12800979 17067972 25601958 51203916