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53364330 = 2325312617
BaseRepresentation
bin1100101110010…
…0011001101010
310201102012002200
43023210121222
5102130124310
65143441030
71215406065
oct313443152
9121365080
1053364330
1128139458
1215a56176
13b095836
1471318dc
154a419c0
hex32e466a

53364330 has 72 divisors (see below), whose sum is σ = 143599716. Its totient is φ = 13749120.

The previous prime is 53364313. The next prime is 53364341. The reversal of 53364330 is 3346335.

53364330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 46090521 + 7273809 = 6789^2 + 2697^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53364294 and 53364303.

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 35 ways as a sum of consecutive naturals, for example, 86182 + ... + 86798.

Almost surely, 253364330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53364330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71799858).

53364330 is an abundant number, since it is smaller than the sum of its proper divisors (90235386).

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

53364330 is a wasteful number, since it uses less digits than its factorization.

53364330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 53364330 is about 7305.0893218358. The cubic root of 53364330 is about 376.4873198800.

The spelling of 53364330 in words is "fifty-three million, three hundred sixty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 617 930 961 1234 1395 1851 1922 2790 2883 3085 3702 4805 5553 5766 6170 8649 9255 9610 11106 14415 17298 18510 19127 27765 28830 38254 43245 55530 57381 86490 95635 114762 172143 191270 286905 344286 573810 592937 860715 1185874 1721430 1778811 2964685 3557622 5336433 5929370 8894055 10672866 17788110 26682165 53364330