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457916953 = 1335224381
BaseRepresentation
bin11011010010110…
…100001000011001
31011220122120222011
4123102310020121
51414211320303
6113234425521
714230141564
oct3322641031
91156576864
10457916953
1121553386a
121094322a1
1373b3c3a0
1444b5d4db
152a30416d
hex1b4b4219

457916953 has 4 divisors (see below), whose sum is σ = 493141348. Its totient is φ = 422692560.

The previous prime is 457916909. The next prime is 457917017. The reversal of 457916953 is 359619754.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 23736384 + 434180569 = 4872^2 + 20837^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-457916953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 457916897 and 457916906.

It is not an unprimeable number, because it can be changed into a prime (457916653) 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 3 ways as a sum of consecutive naturals, for example, 17612178 + ... + 17612203.

It is an arithmetic number, because the mean of its divisors is an integer number (123285337).

Almost surely, 2457916953 is an apocalyptic number.

It is an amenable number.

457916953 is a deficient number, since it is larger than the sum of its proper divisors (35224395).

457916953 is a wasteful number, since it uses less digits than its factorization.

457916953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35224394.

The product of its digits is 1020600, while the sum is 49.

The square root of 457916953 is about 21398.9942053359. The cubic root of 457916953 is about 770.7772850357. Note that the first 3 decimals are identical.

The spelling of 457916953 in words is "four hundred fifty-seven million, nine hundred sixteen thousand, nine hundred fifty-three".

Divisors: 1 13 35224381 457916953