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457274161 = 1512130241
BaseRepresentation
bin11011010000010…
…111001100110001
31011212102221020001
4123100113030301
51414030233121
6113212550001
714221523551
oct3320271461
91155387201
10457274161
11215134933
12109182301
1373975936
1444a33161
152a228991
hex1b417331

457274161 has 4 divisors (see below), whose sum is σ = 457319524. Its totient is φ = 457228800.

The previous prime is 457274101. The next prime is 457274219. The reversal of 457274161 is 161472754.

457274161 is a nontrivial binomial coefficient, being equal to C(30242, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 82464561 + 374809600 = 9081^2 + 19360^2 .

It is a 3-Lehmer number, since φ(457274161) divides (457274161-1)3.

It is a cyclic number.

It is not a de Polignac number, because 457274161 - 213 = 457265969 is a prime.

It is a deceptive number, since it divides R457274160.

It is a self number, because there is not a number n which added to its sum of digits gives 457274161.

It is not an unprimeable number, because it can be changed into a prime (457274101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 30241.

It is an arithmetic number, because the mean of its divisors is an integer number (114329881).

It is a Poulet number, since it divides 2457274160-1.

Almost surely, 2457274161 is an apocalyptic number.

457274161 is the 30241-st triangular number and also the 15121-st hexagonal number.

457274161 is the 10081-st centered nonagonal number.

It is an amenable number.

457274161 is a deficient number, since it is larger than the sum of its proper divisors (45363).

457274161 is a wasteful number, since it uses less digits than its factorization.

457274161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45362.

The product of its digits is 47040, while the sum is 37.

The square root of 457274161 is about 21383.9697203302. The cubic root of 457274161 is about 770.4164616184.

The spelling of 457274161 in words is "four hundred fifty-seven million, two hundred seventy-four thousand, one hundred sixty-one".

Divisors: 1 15121 30241 457274161