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820649463 = 31976118919
BaseRepresentation
bin110000111010100…
…001110111110111
32010012012022102120
4300322201313313
53140041240323
6213233211023
726223256014
oct6072416767
92105168376
10820649463
113912650a7
121aaa00a73
13101032aca
147adc270b
154c0a55e3
hex30ea1df7

820649463 has 16 divisors (see below), whose sum is σ = 1153363200. Its totient is φ = 517596480.

The previous prime is 820649461. The next prime is 820649471. The reversal of 820649463 is 364946028.

It is a happy number.

It is not a de Polignac number, because 820649463 - 21 = 820649461 is a prime.

It is a super-2 number, since 2×8206494632 = 1346931082244376738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820649461) 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, 33918 + ... + 52836.

It is an arithmetic number, because the mean of its divisors is an integer number (72085200).

Almost surely, 2820649463 is an apocalyptic number.

820649463 is a deficient number, since it is larger than the sum of its proper divisors (332713737).

820649463 is a wasteful number, since it uses less digits than its factorization.

820649463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19702.

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 820649463 is about 28646.9799978986. The cubic root of 820649463 is about 936.2372072574.

The spelling of 820649463 in words is "eight hundred twenty million, six hundred forty-nine thousand, four hundred sixty-three".

Divisors: 1 3 19 57 761 2283 14459 18919 43377 56757 359461 1078383 14397359 43192077 273549821 820649463