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763505640 = 233252120849
BaseRepresentation
bin101101100000100…
…010101111101000
31222012200002211200
4231200202233220
53030424140030
6203432324200
724630455652
oct5540425750
91865602750
10763505640
11361a850a7
12193843660
13c2245bb1
14735896d2
1547068d60
hex2d822be8

763505640 has 48 divisors (see below), whose sum is σ = 2481394500. Its totient is φ = 203601408.

The previous prime is 763505609. The next prime is 763505641. The reversal of 763505640 is 46505367.

763505640 is a `hidden beast` number, since 7 + 6 + 3 + 5 + 0 + 5 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 748897956 + 14607684 = 27366^2 + 3822^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 763505595 and 763505604.

It is not an unprimeable number, because it can be changed into a prime (763505641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1060065 + ... + 1060784.

Almost surely, 2763505640 is an apocalyptic number.

It is an amenable number.

763505640 is an abundant number, since it is smaller than the sum of its proper divisors (1717888860).

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

763505640 is a wasteful number, since it uses less digits than its factorization.

763505640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120866 (or 2120859 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 763505640 is about 27631.6058165283. The cubic root of 763505640 is about 913.9815237580.

The spelling of 763505640 in words is "seven hundred sixty-three million, five hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2120849 4241698 6362547 8483396 10604245 12725094 16966792 19087641 21208490 25450188 31812735 38175282 42416980 50900376 63625470 76350564 84833960 95438205 127250940 152701128 190876410 254501880 381752820 763505640