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463485743 = 7293173651
BaseRepresentation
bin11011101000000…
…011101100101111
31012022010111220122
4123220003230233
51422123020433
6113554035155
714325364250
oct3350035457
91168114818
10463485743
11218697776
1210b278abb
137503c026
14457acb27
152aa54198
hex1ba03b2f

463485743 has 16 divisors (see below), whose sum is σ = 565647360. Its totient is φ = 371196000.

The previous prime is 463485731. The next prime is 463485751. The reversal of 463485743 is 347584364.

It is not a de Polignac number, because 463485743 - 216 = 463420207 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 463485694 and 463485703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463485793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30533 + ... + 43118.

It is an arithmetic number, because the mean of its divisors is an integer number (35352960).

Almost surely, 2463485743 is an apocalyptic number.

463485743 is a deficient number, since it is larger than the sum of its proper divisors (102161617).

463485743 is a wasteful number, since it uses less digits than its factorization.

463485743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73718.

The product of its digits is 967680, while the sum is 44.

The square root of 463485743 is about 21528.7190283119. The cubic root of 463485743 is about 773.8892130001.

The spelling of 463485743 in words is "four hundred sixty-three million, four hundred eighty-five thousand, seven hundred forty-three".

Divisors: 1 7 29 31 203 217 899 6293 73651 515557 2135879 2283181 14951153 15982267 66212249 463485743