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66929058 = 2337199319
BaseRepresentation
bin1111111101010…
…0000110100010
311122221100102000
43333110012202
5114113212213
610350304430
71441613310
oct377240642
9148840360
1066929058
1134863879
121a4b8116
1310b34ac1
148c630b0
155d20c73
hex3fd41a2

66929058 has 64 divisors (see below), whose sum is σ = 178944000. Its totient is φ = 18114192.

The previous prime is 66929053. The next prime is 66929059. The reversal of 66929058 is 85092966.

It is not an unprimeable number, because it can be changed into a prime (66929053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2523 + ... + 11841.

It is an arithmetic number, because the mean of its divisors is an integer number (2796000).

Almost surely, 266929058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66929058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89472000).

66929058 is an abundant number, since it is smaller than the sum of its proper divisors (112014942).

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

66929058 is a wasteful number, since it uses less digits than its factorization.

66929058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9356 (or 9350 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 66929058 is about 8181.0181517950. The cubic root of 66929058 is about 406.0114089994.

The spelling of 66929058 in words is "sixty-six million, nine hundred twenty-nine thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 7182 9319 18638 27957 55914 65233 83871 130466 167742 177061 195699 251613 354122 391398 503226 531183 587097 1062366 1174194 1239427 1593549 1761291 2478854 3187098 3522582 3718281 4780647 7436562 9561294 11154843 22309686 33464529 66929058