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463077413 = 618985297
BaseRepresentation
bin11011100110100…
…000000000100101
31012021100202210022
4123212200000211
51422021434123
6113541204525
714322043631
oct3346400045
91167322708
10463077413
11218438a07
1210b100745
1374c28206
1445703dc1
152a9c31c8
hex1b9a0025

463077413 has 8 divisors (see below), whose sum is σ = 475962840. Its totient is φ = 450362880.

The previous prime is 463077409. The next prime is 463077421. The reversal of 463077413 is 314770364.

It can be written as a sum of positive squares in 4 ways, for example, as 89737729 + 373339684 = 9473^2 + 19322^2 .

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 463077413 - 22 = 463077409 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 (463077113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37220 + ... + 48077.

It is an arithmetic number, because the mean of its divisors is an integer number (59495355).

Almost surely, 2463077413 is an apocalyptic number.

It is an amenable number.

463077413 is a deficient number, since it is larger than the sum of its proper divisors (12885427).

463077413 is an equidigital number, since it uses as much as digits as its factorization.

463077413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85447.

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 463077413 is about 21519.2335597716. The cubic root of 463077413 is about 773.6618812848.

The spelling of 463077413 in words is "four hundred sixty-three million, seventy-seven thousand, four hundred thirteen".

Divisors: 1 61 89 5429 85297 5203117 7591433 463077413