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50643216 = 24321322081
BaseRepresentation
bin1100000100110…
…0000100010000
310112021221102200
43001030010100
5100431040331
65005243200
71153313601
oct301140420
9115257380
1050643216
112664aaa8
1214b63500
13a652100
146a23da8
1546a55e6
hex304c110

50643216 has 90 divisors (see below), whose sum is σ = 153545418. Its totient is φ = 15575040.

The previous prime is 50643211. The next prime is 50643259. The reversal of 50643216 is 61234605.

50643216 is a `hidden beast` number, since 5 + 0 + 643 + 2 + 16 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 176400 + 50466816 = 420^2 + 7104^2 .

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 50643216.

It is not an unprimeable number, because it can be changed into a prime (50643211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23296 + ... + 25376.

Almost surely, 250643216 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 50643216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76772709).

50643216 is an abundant number, since it is smaller than the sum of its proper divisors (102902202).

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

50643216 is a wasteful number, since it uses less digits than its factorization.

50643216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 50643216 is about 7116.4047102452. The cubic root of 50643216 is about 369.9761757243.

The spelling of 50643216 in words is "fifty million, six hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2081 2704 3042 4056 4162 6084 6243 8112 8324 12168 12486 16648 18729 24336 24972 27053 33296 37458 49944 54106 74916 81159 99888 108212 149832 162318 216424 243477 299664 324636 351689 432848 486954 649272 703378 973908 1055067 1298544 1406756 1947816 2110134 2813512 3165201 3895632 4220268 5627024 6330402 8440536 12660804 16881072 25321608 50643216