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66629433 = 31321131163
BaseRepresentation
bin1111111000101…
…0111100111001
311122101010101210
43332022330321
5114024120213
610340033333
71436224623
oct376127471
9148333353
1066629433
1134679752
121a392849
1310a5b600
148bc5c13
155cb20c3
hex3f8af39

66629433 has 24 divisors (see below), whose sum is σ = 97133472. Its totient is φ = 40604928.

The previous prime is 66629429. The next prime is 66629441. The reversal of 66629433 is 33492666.

It is not a de Polignac number, because 66629433 - 22 = 66629429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 66629391 and 66629400.

It is not an unprimeable number, because it can be changed into a prime (66629483) 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 23 ways as a sum of consecutive naturals, for example, 56710 + ... + 57872.

It is an arithmetic number, because the mean of its divisors is an integer number (4047228).

Almost surely, 266629433 is an apocalyptic number.

It is an amenable number.

66629433 is a deficient number, since it is larger than the sum of its proper divisors (30504039).

66629433 is a wasteful number, since it uses less digits than its factorization.

66629433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1292 counting only the distinct ones).

The product of its digits is 139968, while the sum is 39.

The square root of 66629433 is about 8162.6854037137. The cubic root of 66629433 is about 405.4046314199.

The spelling of 66629433 in words is "sixty-six million, six hundred twenty-nine thousand, four hundred thirty-three".

Divisors: 1 3 13 39 113 169 339 507 1163 1469 3489 4407 15119 19097 45357 57291 131419 196547 394257 589641 1708447 5125341 22209811 66629433