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66929625 = 335372833
BaseRepresentation
bin1111111101010…
…0001111011001
311122221101012000
43333110033121
5114113222000
610350311213
71441615050
oct377241731
9148841160
1066929625
1134864244
121a4b8509
1310b35139
148c63397
155d21000
hex3fd43d9

66929625 has 64 divisors (see below), whose sum is σ = 141473280. Its totient is φ = 30585600.

The previous prime is 66929591. The next prime is 66929743. The reversal of 66929625 is 52692966.

It is not a de Polignac number, because 66929625 - 210 = 66928601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 22209 + ... + 25041.

It is an arithmetic number, because the mean of its divisors is an integer number (2210520).

Almost surely, 266929625 is an apocalyptic number.

It is an amenable number.

66929625 is an abundant number, since it is smaller than the sum of its proper divisors (74543655).

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

66929625 is a wasteful number, since it uses less digits than its factorization.

66929625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2848 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 66929625 is about 8181.0528051101. The cubic root of 66929625 is about 406.0125555259.

The spelling of 66929625 in words is "sixty-six million, nine hundred twenty-nine thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 315 375 525 675 875 945 1125 1575 2625 2833 3375 4725 7875 8499 14165 19831 23625 25497 42495 59493 70825 76491 99155 127485 178479 212475 297465 354125 382455 495775 535437 637425 892395 1062375 1487325 1912275 2478875 2677185 3187125 4461975 7436625 9561375 13385925 22309875 66929625