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50660064 = 25327131933
BaseRepresentation
bin1100000101000…
…0001011100000
310112022210112200
43001100023200
5100432110224
65005453200
71153413660
oct301201340
9115283480
1050660064
1126661724
1214b71200
13a659990
146a2a1a0
1546aa5c9
hex30502e0

50660064 has 144 divisors (see below), whose sum is σ = 177401952. Its totient is φ = 13353984.

The previous prime is 50660011. The next prime is 50660069. The reversal of 50660064 is 46006605.

50660064 is a `hidden beast` number, since 50 + 6 + 600 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50660069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25242 + ... + 27174.

It is an arithmetic number, because the mean of its divisors is an integer number (1231958).

Almost surely, 250660064 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 50660064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88700976).

50660064 is an abundant number, since it is smaller than the sum of its proper divisors (126741888).

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

50660064 is a wasteful number, since it uses less digits than its factorization.

50660064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1958 counting only the distinct ones).

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

The square root of 50660064 is about 7117.5883556160. The cubic root of 50660064 is about 370.0171991031.

Adding to 50660064 its reverse (46006605), we get a palindrome (96666669).

The spelling of 50660064 in words is "fifty million, six hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 1933 2016 2184 2912 3276 3744 3866 4368 5799 6552 7732 8736 11598 13104 13531 15464 17397 23196 25129 26208 27062 30928 34794 40593 46392 50258 54124 61856 69588 75387 81186 92784 100516 108248 121779 139176 150774 162372 175903 185568 201032 216496 226161 243558 278352 301548 324744 351806 402064 432992 452322 487116 527709 556704 603096 649488 703612 804128 904644 974232 1055418 1206192 1298976 1407224 1583127 1809288 1948464 2110836 2412384 2814448 3166254 3618576 3896928 4221672 5628896 6332508 7237152 8443344 12665016 16886688 25330032 50660064