Search a number
-
+
75666042 = 2337917737
BaseRepresentation
bin1001000001010…
…01001001111010
312021101020022000
410200221021322
5123332303132
611301441430
71606102464
oct440511172
9167336260
1075666042
1139791021
1221410276
13128a380a
14a099134
15699987c
hex482927a

75666042 has 32 divisors (see below), whose sum is σ = 170284800. Its totient is φ = 24901344.

The previous prime is 75666029. The next prime is 75666079. The reversal of 75666042 is 24066657.

It is a junction number, because it is equal to n+sod(n) for n = 75665988 and 75666006.

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 15 ways as a sum of consecutive naturals, for example, 4603 + ... + 13134.

It is an arithmetic number, because the mean of its divisors is an integer number (5321400).

Almost surely, 275666042 is an apocalyptic number.

75666042 is an abundant number, since it is smaller than the sum of its proper divisors (94618758).

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

75666042 is a wasteful number, since it uses less digits than its factorization.

75666042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17827 (or 17821 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 75666042 is about 8698.6229944745. The cubic root of 75666042 is about 422.9610144645.

The spelling of 75666042 in words is "seventy-five million, six hundred sixty-six thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 1422 2133 4266 17737 35474 53211 106422 159633 319266 478899 957798 1401223 2802446 4203669 8407338 12611007 25222014 37833021 75666042