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456406493 = 1034431131
BaseRepresentation
bin11011001101000…
…011010111011101
31011210210212000012
4123031003113131
51413320001433
6113142213005
714211251114
oct3315032735
91153725005
10456406493
112146a1a54
12108a24165
1373730a1a
1444888c7b
152a106848
hex1b3435dd

456406493 has 4 divisors (see below), whose sum is σ = 460837728. Its totient is φ = 451975260.

The previous prime is 456406487. The next prime is 456406499. The reversal of 456406493 is 394604654.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (456406487) and next prime (456406499).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-456406493 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456406493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456406499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2215463 + ... + 2215668.

It is an arithmetic number, because the mean of its divisors is an integer number (115209432).

Almost surely, 2456406493 is an apocalyptic number.

It is an amenable number.

456406493 is a deficient number, since it is larger than the sum of its proper divisors (4431235).

456406493 is a wasteful number, since it uses less digits than its factorization.

456406493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431234.

The product of its (nonzero) digits is 311040, while the sum is 41.

The square root of 456406493 is about 21363.6722732774. The cubic root of 456406493 is about 769.9288701372.

The spelling of 456406493 in words is "four hundred fifty-six million, four hundred six thousand, four hundred ninety-three".

Divisors: 1 103 4431131 456406493