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463368676 = 224722292
BaseRepresentation
bin11011100111100…
…111000111100100
31012021220120022211
4123213213013210
51422110244201
6113551333204
714324366041
oct3347470744
91167816284
10463368676
11218617821
1210b221204
1374cca964
144577c1c8
152aa2e651
hex1b9e71e4

463368676 has 27 divisors (see below), whose sum is σ = 832149129. Its totient is φ = 225764688.

The previous prime is 463368617. The next prime is 463368679. The reversal of 463368676 is 676863364.

It is a happy number.

The square root of 463368676 is 21526.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 431559076 + 31809600 = 20774^2 + 5640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (463368679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2023330 + ... + 2023558.

Almost surely, 2463368676 is an apocalyptic number.

463368676 is the 21526-th square number.

It is an amenable number.

463368676 is a deficient number, since it is larger than the sum of its proper divisors (368780453).

463368676 is an equidigital number, since it uses as much as digits as its factorization.

463368676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 278 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 49.

The cubic root of 463368676 is about 773.8240513286.

Multiplying 463368676 by its sum of digits (49), we get a square (22705065124 = 1506822).

The spelling of 463368676 in words is "four hundred sixty-three million, three hundred sixty-eight thousand, six hundred seventy-six".

Divisors: 1 2 4 47 94 188 229 458 916 2209 4418 8836 10763 21526 43052 52441 104882 209764 505861 1011722 2023444 2464727 4929454 9858908 115842169 231684338 463368676