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463068948 = 223316192011
BaseRepresentation
bin11011100110011…
…101111100010100
31012021100100011210
4123212131330110
51422021201243
6113541101420
714322010146
oct3346357424
91167310153
10463068948
11218432611
1210b0b7870
1374c243c4
1445700c96
152a9c0933
hex1b99df14

463068948 has 48 divisors (see below), whose sum is σ = 1117706240. Its totient is φ = 149061600.

The previous prime is 463068943. The next prime is 463068961. The reversal of 463068948 is 849860364.

It is a junction number, because it is equal to n+sod(n) for n = 463068897 and 463068906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463068943) 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 15 ways as a sum of consecutive naturals, for example, 229263 + ... + 231273.

Almost surely, 2463068948 is an apocalyptic number.

It is an amenable number.

463068948 is an abundant number, since it is smaller than the sum of its proper divisors (654637292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

463068948 is a wasteful number, since it uses less digits than its factorization.

463068948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 463068948 is about 21519.0368743585. The cubic root of 463068948 is about 773.6571671070.

The spelling of 463068948 in words is "four hundred sixty-three million, sixty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 619 1238 1857 2011 2476 3714 4022 6033 7428 8044 12066 19189 24132 38378 57567 62341 76756 115134 124682 187023 230268 249364 374046 748092 1244809 2489618 3734427 4979236 7468854 14937708 38589079 77178158 115767237 154356316 231534474 463068948