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66064032 = 253376463
BaseRepresentation
bin1111110000000…
…0111010100000
311121022101211000
43330000322200
5113403022112
610315552000
71431351336
oct374007240
9147271730
1066064032
1134322981
121a15b600
13108c1158
148ab9b56
155bee7dc
hex3f00ea0

66064032 has 48 divisors (see below), whose sum is σ = 192689280. Its totient is φ = 22021056.

The previous prime is 66063983. The next prime is 66064043. The reversal of 66064032 is 23046066.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 66063987 and 66064005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37368 + ... + 39095.

It is an arithmetic number, because the mean of its divisors is an integer number (4014360).

Almost surely, 266064032 is an apocalyptic number.

It is an amenable number.

66064032 is an abundant number, since it is smaller than the sum of its proper divisors (126625248).

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

66064032 is a wasteful number, since it uses less digits than its factorization.

66064032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76482 (or 76468 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 66064032 is about 8127.9783464278. The cubic root of 66064032 is about 404.2546510733.

The spelling of 66064032 in words is "sixty-six million, sixty-four thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 76463 152926 229389 305852 458778 611704 688167 917556 1223408 1376334 1835112 2064501 2446816 2752668 3670224 4129002 5505336 7340448 8258004 11010672 16516008 22021344 33032016 66064032