Search a number
-
+
75705768 = 23321051469
BaseRepresentation
bin1001000001100…
…10110110101000
312021110020210100
410200302312220
5123340041033
611302345400
71606326345
oct440626650
9167406710
1075705768
1139808956
122142b260
13128b8918
14a0a97cc
1569a6513
hex4832da8

75705768 has 24 divisors (see below), whose sum is σ = 205036650. Its totient is φ = 25235232.

The previous prime is 75705739. The next prime is 75705781. The reversal of 75705768 is 86750757.

75705768 is a `hidden beast` number, since 7 + 5 + 70 + 576 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62441604 + 13264164 = 7902^2 + 3642^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 525663 + ... + 525806.

Almost surely, 275705768 is an apocalyptic number.

It is an amenable number.

75705768 is an abundant number, since it is smaller than the sum of its proper divisors (129330882).

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

75705768 is a wasteful number, since it uses less digits than its factorization.

75705768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051481 (or 1051474 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 75705768 is about 8700.9061597054. The cubic root of 75705768 is about 423.0350221661.

The spelling of 75705768 in words is "seventy-five million, seven hundred five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1051469 2102938 3154407 4205876 6308814 8411752 9463221 12617628 18926442 25235256 37852884 75705768