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457217393 = 2940139317
BaseRepresentation
bin11011010000001…
…001010101110001
31011212100001100112
4123100021111301
51414021424033
6113211431105
714221166213
oct3320112561
91155301315
10457217393
112150a6216
12109155495
1373955b49
1444a1a5b3
152a216c48
hex1b409571

457217393 has 8 divisors (see below), whose sum is σ = 474175080. Its totient is φ = 440339200.

The previous prime is 457217359. The next prime is 457217479. The reversal of 457217393 is 393712754.

It can be written as a sum of positive squares in 4 ways, for example, as 294705889 + 162511504 = 17167^2 + 12748^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 457217393 - 210 = 457216369 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 457217393.

It is not an unprimeable number, because it can be changed into a prime (457216393) 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 7 ways as a sum of consecutive naturals, for example, 8030 + ... + 31287.

It is an arithmetic number, because the mean of its divisors is an integer number (59271885).

Almost surely, 2457217393 is an apocalyptic number.

It is an amenable number.

457217393 is a deficient number, since it is larger than the sum of its proper divisors (16957687).

457217393 is a wasteful number, since it uses less digits than its factorization.

457217393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39747.

The product of its digits is 158760, while the sum is 41.

The square root of 457217393 is about 21382.6423297028. The cubic root of 457217393 is about 770.3845793507.

The spelling of 457217393 in words is "four hundred fifty-seven million, two hundred seventeen thousand, three hundred ninety-three".

Divisors: 1 29 401 11629 39317 1140193 15766117 457217393