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66434784 = 2531353233
BaseRepresentation
bin1111110101101…
…1011011100000
311122000020101120
43331123123200
5114001403114
610331532240
71434454263
oct375333340
9148006346
1066434784
1134556489
121a2ba080
13109c0b30
148b74cda
155c745a9
hex3f5b6e0

66434784 has 48 divisors (see below), whose sum is σ = 187809552. Its totient is φ = 20441088.

The previous prime is 66434749. The next prime is 66434807. The reversal of 66434784 is 48743466.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25369 + ... + 27864.

It is an arithmetic number, because the mean of its divisors is an integer number (3912699).

Almost surely, 266434784 is an apocalyptic number.

It is an amenable number.

66434784 is an abundant number, since it is smaller than the sum of its proper divisors (121374768).

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

66434784 is a wasteful number, since it uses less digits than its factorization.

66434784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53259 (or 53251 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 66434784 is about 8150.7535847920. The cubic root of 66434784 is about 405.0094678476.

The spelling of 66434784 in words is "sixty-six million, four hundred thirty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 53233 106466 159699 212932 319398 425864 638796 692029 851728 1277592 1384058 1703456 2076087 2555184 2768116 4152174 5110368 5536232 8304348 11072464 16608696 22144928 33217392 66434784