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51960216 = 23371131907
BaseRepresentation
bin1100011000110…
…1100110011000
310121202212000110
43012031212120
5101300211331
65053404320
71200440340
oct306154630
9117685013
1051960216
112736a530
12154996a0
13a9c36b9
146c87d20
154865946
hex318d998

51960216 has 128 divisors (see below), whose sum is σ = 167362560. Its totient is φ = 13046400.

The previous prime is 51960149. The next prime is 51960221. The reversal of 51960216 is 61206915.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56835 + ... + 57741.

It is an arithmetic number, because the mean of its divisors is an integer number (1307520).

Almost surely, 251960216 is an apocalyptic number.

51960216 is a gapful number since it is divisible by the number (56) 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 51960216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83681280).

51960216 is an abundant number, since it is smaller than the sum of its proper divisors (115402344).

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

51960216 is a wasteful number, since it uses less digits than its factorization.

51960216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 51960216 is about 7208.3434990294. The cubic root of 51960216 is about 373.1559027908.

The spelling of 51960216 in words is "fifty-one million, nine hundred sixty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 31 33 42 44 56 62 66 77 84 88 93 124 132 154 168 186 217 231 248 264 308 341 372 434 462 616 651 682 744 868 907 924 1023 1302 1364 1736 1814 1848 2046 2387 2604 2721 2728 3628 4092 4774 5208 5442 6349 7161 7256 8184 9548 9977 10884 12698 14322 19047 19096 19954 21768 25396 28117 28644 29931 38094 39908 50792 56234 57288 59862 69839 76188 79816 84351 112468 119724 139678 152376 168702 196819 209517 224936 239448 279356 309287 337404 393638 419034 558712 590457 618574 674808 787276 838068 927861 1180914 1237148 1574552 1676136 1855722 2165009 2361828 2474296 3711444 4330018 4723656 6495027 7422888 8660036 12990054 17320072 25980108 51960216