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63884142 = 2327272431
BaseRepresentation
bin1111001110110…
…0101101101110
311110012122120100
43303230231232
5112323243032
610201131530
71404002100
oct363545556
9143178510
1063884142
1133074113
1219489ba6
1310309b8a
1486ad570
15591d97c
hex3cecb6e

63884142 has 36 divisors (see below), whose sum is σ = 161016336. Its totient is φ = 18252360.

The previous prime is 63884123. The next prime is 63884143. The reversal of 63884142 is 24148836.

63884142 is a `hidden beast` number, since 638 + 8 + 4 + 14 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 63884097 and 63884106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63884143) 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 17 ways as a sum of consecutive naturals, for example, 35334 + ... + 37097.

It is an arithmetic number, because the mean of its divisors is an integer number (4472676).

Almost surely, 263884142 is an apocalyptic number.

63884142 is an abundant number, since it is smaller than the sum of its proper divisors (97132194).

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

63884142 is a wasteful number, since it uses less digits than its factorization.

63884142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72453 (or 72443 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 63884142 is about 7992.7555949122. The cubic root of 63884142 is about 399.7584833703.

The spelling of 63884142 in words is "sixty-three million, eight hundred eighty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 72431 144862 217293 434586 507017 651879 1014034 1303758 1521051 3042102 3549119 4563153 7098238 9126306 10647357 21294714 31942071 63884142