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457380081 = 33131129313
BaseRepresentation
bin11011010000110…
…001000011110001
31011212122022112000
4123100301003301
51414042130311
6113215124213
714222444424
oct3320610361
91155568460
10457380081
112151a7474
12109213669
13739b1c02
1444a5d9bb
152a24a056
hex1b4310f1

457380081 has 16 divisors (see below), whose sum is σ = 682777920. Its totient is φ = 302590080.

The previous prime is 457380071. The next prime is 457380109. The reversal of 457380081 is 180083754.

457380081 is a `hidden beast` number, since 4 + 573 + 8 + 0 + 0 + 81 = 666.

It is not a de Polignac number, because 457380081 - 227 = 323162353 is a prime.

It is a super-2 number, since 2×4573800812 = 418393076991133122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (457380031) 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 15 ways as a sum of consecutive naturals, for example, 61120 + ... + 68193.

It is an arithmetic number, because the mean of its divisors is an integer number (42673620).

Almost surely, 2457380081 is an apocalyptic number.

It is an amenable number.

457380081 is a deficient number, since it is larger than the sum of its proper divisors (225397839).

457380081 is a wasteful number, since it uses less digits than its factorization.

457380081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129453 (or 129447 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 457380081 is about 21386.4461984688. The cubic root of 457380081 is about 770.4759417719.

The spelling of 457380081 in words is "four hundred fifty-seven million, three hundred eighty thousand, eighty-one".

Divisors: 1 3 9 27 131 393 1179 3537 129313 387939 1163817 3491451 16940003 50820009 152460027 457380081