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50344064 = 274153181
BaseRepresentation
bin1100000000001…
…1000010000000
310111201202001222
43000003002000
5100342002224
64555014212
71150626461
oct300030200
9114652058
1050344064
1126466271
1214a3a368
13a578bb4
146986d68
154646b5e
hex3003080

50344064 has 64 divisors (see below), whose sum is σ = 105257880. Its totient is φ = 23961600.

The previous prime is 50344061. The next prime is 50344109. The reversal of 50344064 is 46044305.

It can be written as a sum of positive squares in 4 ways, for example, as 19430464 + 30913600 = 4408^2 + 5560^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (50344061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278054 + ... + 278234.

Almost surely, 250344064 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 50344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52628940).

50344064 is an abundant number, since it is smaller than the sum of its proper divisors (54913816).

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

50344064 is a wasteful number, since it uses less digits than its factorization.

50344064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 50344064 is about 7095.3551003456. The cubic root of 50344064 is about 369.2462473568.

Adding to 50344064 its reverse (46044305), we get a palindrome (96388369).

The spelling of 50344064 in words is "fifty million, three hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 41 53 64 82 106 128 164 181 212 328 362 424 656 724 848 1312 1448 1696 2173 2624 2896 3392 4346 5248 5792 6784 7421 8692 9593 11584 14842 17384 19186 23168 29684 34768 38372 59368 69536 76744 118736 139072 153488 237472 278144 306976 393313 474944 613952 786626 949888 1227904 1573252 3146504 6293008 12586016 25172032 50344064