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457440381 = 32157523619
BaseRepresentation
bin11011010000111…
…111110001111101
31011212202101020100
4123100333301331
51414101043011
6113220311313
714223115266
oct3320776175
91155671210
10457440381
11215238802
12109242539
1373a034a8
1444a7796d
152a25cd56
hex1b43fc7d

457440381 has 24 divisors (see below), whose sum is σ = 667303520. Its totient is φ = 301949856.

The previous prime is 457440367. The next prime is 457440391. The reversal of 457440381 is 183044754.

457440381 is a `hidden beast` number, since 4 + 574 + 4 + 0 + 3 + 81 = 666.

It is not a de Polignac number, because 457440381 - 29 = 457439869 is a prime.

It is a super-2 number, since 2×4574403812 = 418503404338850322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457440311) 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 23 ways as a sum of consecutive naturals, for example, 738690 + ... + 739308.

Almost surely, 2457440381 is an apocalyptic number.

It is an amenable number.

457440381 is a deficient number, since it is larger than the sum of its proper divisors (209863139).

457440381 is a wasteful number, since it uses less digits than its factorization.

457440381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 457440381 is about 21387.8559233973. The cubic root of 457440381 is about 770.5097995776.

The spelling of 457440381 in words is "four hundred fifty-seven million, four hundred forty thousand, three hundred eighty-one".

Divisors: 1 3 9 157 471 523 619 1413 1569 1857 4707 5571 82111 97183 246333 291549 323737 738999 874647 971211 2913633 50826709 152480127 457440381