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457940917 = 7217549749
BaseRepresentation
bin11011010010111…
…001111110110101
31011220200210211201
4123102321332311
51414213102132
6113235132501
714230301500
oct3322717665
91156623751
10457940917
1121554a875
12109444131
1373b4a275
1444b68137
152a30b2e7
hex1b4b9fb5

457940917 has 12 divisors (see below), whose sum is σ = 564043500. Its totient is φ = 369430656.

The previous prime is 457940909. The next prime is 457940933. The reversal of 457940917 is 719049754.

It can be written as a sum of positive squares in 2 ways, for example, as 353778481 + 104162436 = 18809^2 + 10206^2 .

It is not a de Polignac number, because 457940917 - 23 = 457940909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457940017) 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 11 ways as a sum of consecutive naturals, for example, 274042 + ... + 275707.

It is an arithmetic number, because the mean of its divisors is an integer number (47003625).

Almost surely, 2457940917 is an apocalyptic number.

It is an amenable number.

457940917 is a deficient number, since it is larger than the sum of its proper divisors (106102583).

457940917 is a wasteful number, since it uses less digits than its factorization.

457940917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549780 (or 549773 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The square root of 457940917 is about 21399.5541308692. The cubic root of 457940917 is about 770.7907304028.

The spelling of 457940917 in words is "four hundred fifty-seven million, nine hundred forty thousand, nine hundred seventeen".

Divisors: 1 7 17 49 119 833 549749 3848243 9345733 26937701 65420131 457940917