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455555961 = 3374158789
BaseRepresentation
bin11011001001110…
…011101101111001
31011202012122022000
4123021303231321
51413110242321
6113112051213
714201106330
oct3311635571
91152178260
10455555961
11214170a33
12108693b09
13734c3853
1444706d17
1529ed9826
hex1b273b79

455555961 has 32 divisors (see below), whose sum is σ = 790137600. Its totient is φ = 253964160.

The previous prime is 455555957. The next prime is 455555993. The reversal of 455555961 is 169555554.

455555961 is a `hidden beast` number, since 4 + 5 + 5 + 55 + 596 + 1 = 666.

It is not a de Polignac number, because 455555961 - 22 = 455555957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (455555921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21646 + ... + 37143.

It is an arithmetic number, because the mean of its divisors is an integer number (24691800).

Almost surely, 2455555961 is an apocalyptic number.

455555961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

455555961 is a deficient number, since it is larger than the sum of its proper divisors (334581639).

455555961 is a wasteful number, since it uses less digits than its factorization.

455555961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58846 (or 58840 counting only the distinct ones).

The product of its digits is 675000, while the sum is 45.

The square root of 455555961 is about 21343.7569560750. The cubic root of 455555961 is about 769.4503081880.

It can be divided in two parts, 4555 and 55961, that added together give a square (60516 = 2462).

The spelling of 455555961 in words is "four hundred fifty-five million, five hundred fifty-five thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 21 27 41 63 123 189 287 369 861 1107 2583 7749 58789 176367 411523 529101 1234569 1587303 2410349 3703707 7231047 11111121 16872443 21693141 50617329 65079423 151851987 455555961