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463395645 = 32532092
BaseRepresentation
bin11011100111101…
…101101100111101
31012021221221022200
4123213231230331
51422112130040
6113552102113
714324540466
oct3347555475
91167857280
10463395645
11218636009
1210b234939
137500a00b
1445787d6d
152aa37630
hex1b9edb3d

463395645 has 18 divisors (see below), whose sum is σ = 803469498. Its totient is φ = 247067328.

The previous prime is 463395643. The next prime is 463395671. The reversal of 463395645 is 546593364.

463395645 is a `hidden beast` number, since 4 + 633 + 9 + 5 + 6 + 4 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 65512836 + 397882809 = 8094^2 + 19947^2 .

It is not a de Polignac number, because 463395645 - 21 = 463395643 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 463395645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463395643) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 142801 + ... + 146009.

Almost surely, 2463395645 is an apocalyptic number.

463395645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

463395645 is a deficient number, since it is larger than the sum of its proper divisors (340073853).

463395645 is an frugal number, since it uses more digits than its factorization.

463395645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6429 (or 3217 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 463395645 is about 21526.6264193905. The cubic root of 463395645 is about 773.8390637489.

Multiplying 463395645 by its sum of digits (45), we get a square (20852804025 = 1444052).

463395645 divided by its sum of digits (45) gives a square (10297681 = 32092).

It can be divided in two parts, 46339 and 5645, that added together give a square (51984 = 2282).

The spelling of 463395645 in words is "four hundred sixty-three million, three hundred ninety-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 3209 9627 16045 28881 48135 144405 10297681 30893043 51488405 92679129 154465215 463395645