Search a number
-
+
457668055 = 513361683
BaseRepresentation
bin11011010001110…
…111010111010111
31011220011221112201
4123101313113113
51414130334210
6113225225331
714225054125
oct3321672727
91156157481
10457668055
11215383869
12109332247
1373a83000
1444ad6915
152a2a553a
hex1b4775d7

457668055 has 32 divisors (see below), whose sum is σ = 605586240. Its totient is φ = 331943040.

The previous prime is 457668023. The next prime is 457668061. The reversal of 457668055 is 550866754.

It is not a de Polignac number, because 457668055 - 25 = 457668023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 457667996 and 457668014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669744 + ... + 670426.

It is an arithmetic number, because the mean of its divisors is an integer number (18924570).

Almost surely, 2457668055 is an apocalyptic number.

457668055 is a deficient number, since it is larger than the sum of its proper divisors (147918185).

457668055 is an equidigital number, since it uses as much as digits as its factorization.

457668055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 46.

The square root of 457668055 is about 21393.1777676903. The cubic root of 457668055 is about 770.6376092767.

The spelling of 457668055 in words is "four hundred fifty-seven million, six hundred sixty-eight thousand, fifty-five".

Divisors: 1 5 13 61 65 169 305 683 793 845 2197 3415 3965 8879 10309 10985 41663 44395 51545 115427 134017 208315 541619 577135 670085 1500551 2708095 7041047 7502755 35205235 91533611 457668055