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457047378 = 23250392
BaseRepresentation
bin11011001111011…
…111110101010010
31011212000102010200
4123033133311102
51414001004003
6113204040030
714216560434
oct3317376522
91155012120
10457047378
11214a9a507
12109093016
13738c6648
14449b4654
152a1d16a3
hex1b3dfd52

457047378 has 18 divisors (see below), whose sum is σ = 990465879. Its totient is φ = 152318892.

The previous prime is 457047373. The next prime is 457047391. The reversal of 457047378 is 873740754.

457047378 is a `hidden beast` number, since 4 + 570 + 4 + 7 + 3 + 78 = 666.

It can be written as a sum of positive squares in only one way, i.e., 228523689 + 228523689 = 15117^2 + 15117^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=15117.

It is not an unprimeable number, because it can be changed into a prime (457047373) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 88183 + ... + 93221.

Almost surely, 2457047378 is an apocalyptic number.

457047378 is an abundant number, since it is smaller than the sum of its proper divisors (533418501).

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

457047378 is an frugal number, since it uses more digits than its factorization.

457047378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10086 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 457047378 is about 21378.6664223941. Note that the first 3 decimals coincide. The cubic root of 457047378 is about 770.2890790672.

The spelling of 457047378 in words is "four hundred fifty-seven million, forty-seven thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 5039 10078 15117 30234 45351 90702 25391521 50783042 76174563 152349126 228523689 457047378