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66889628 = 22131724451
BaseRepresentation
bin1111111100101…
…0011110011100
311122212100022122
43333022132130
5114110432003
610345402112
71441360331
oct377123634
9148770278
1066889628
1134837193
121a499338
1310b1cb80
148c52988
155d14238
hex3fca79c

66889628 has 36 divisors (see below), whose sum is σ = 133942872. Its totient is φ = 29049600.

The previous prime is 66889621. The next prime is 66889663. The reversal of 66889628 is 82698866.

It is a self number, because there is not a number n which added to its sum of digits gives 66889628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66889621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12803 + ... + 17253.

Almost surely, 266889628 is an apocalyptic number.

66889628 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

66889628 is an abundant number, since it is smaller than the sum of its proper divisors (67053244).

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

66889628 is a wasteful number, since it uses less digits than its factorization.

66889628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4483 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 53.

The square root of 66889628 is about 8178.6079500120. The cubic root of 66889628 is about 405.9316619997.

The spelling of 66889628 in words is "sixty-six million, eight hundred eighty-nine thousand, six hundred twenty-eight".

Divisors: 1 2 4 13 17 26 34 52 68 221 289 442 578 884 1156 3757 4451 7514 8902 15028 17804 57863 75667 115726 151334 231452 302668 983671 1286339 1967342 2572678 3934684 5145356 16722407 33444814 66889628