[go: up one dir, main page]

Search a number
-
+
75255966 = 2341134111
BaseRepresentation
bin1000111110001…
…01000010011110
312020121101210000
410133011002132
5123231142331
611244555130
71602444102
oct437050236
9166541700
1075255966
1139530a15
1221252aa6
131278bc76
149dcd902
1569180e6
hex47c509e

75255966 has 40 divisors (see below), whose sum is σ = 170162784. Its totient is φ = 24857280.

The previous prime is 75255949. The next prime is 75255967. The reversal of 75255966 is 66955257.

75255966 is a `hidden beast` number, since 7 + 52 + 5 + 596 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75255967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16251 + ... + 20361.

Almost surely, 275255966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75255966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85081392).

75255966 is an abundant number, since it is smaller than the sum of its proper divisors (94906818).

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

75255966 is a wasteful number, since it uses less digits than its factorization.

75255966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4229 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 75255966 is about 8675.0196541564. The cubic root of 75255966 is about 422.1955436462.

The spelling of 75255966 in words is "seventy-five million, two hundred fifty-five thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 339 678 1017 2034 3051 4111 6102 8222 9153 12333 18306 24666 36999 73998 110997 221994 332991 464543 665982 929086 1393629 2787258 4180887 8361774 12542661 25085322 37627983 75255966