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50564864 = 287229139
BaseRepresentation
bin1100000011100…
…0111100000000
310112010221221202
43000320330000
5100421033424
65003440332
71152536300
oct300707400
9115127852
1050564864
11265a7149
1214b260a8
13a62554c
146a03600
15468c2ae
hex3038f00

50564864 has 108 divisors (see below), whose sum is σ = 122333400. Its totient is φ = 20772864.

The previous prime is 50564827. The next prime is 50564867. The reversal of 50564864 is 46846505.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50564867) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363707 + ... + 363845.

Almost surely, 250564864 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 50564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61166700).

50564864 is an abundant number, since it is smaller than the sum of its proper divisors (71768536).

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

50564864 is a wasteful number, since it uses less digits than its factorization.

50564864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 50564864 is about 7110.8975523488. The cubic root of 50564864 is about 369.7852759478.

The spelling of 50564864 in words is "fifty million, five hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 139 196 203 224 232 256 278 392 406 448 464 556 784 812 896 928 973 1112 1421 1568 1624 1792 1856 1946 2224 2842 3136 3248 3712 3892 4031 4448 5684 6272 6496 6811 7424 7784 8062 8896 11368 12544 12992 13622 15568 16124 17792 22736 25984 27244 28217 31136 32248 35584 45472 51968 54488 56434 62272 64496 90944 108976 112868 124544 128992 181888 197519 217952 225736 249088 257984 363776 395038 435904 451472 515968 790076 871808 902944 1031936 1580152 1743616 1805888 3160304 3611776 6320608 7223552 12641216 25282432 50564864