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47987631 = 3237532719
BaseRepresentation
bin1011011100001…
…1101110101111
310100022000122200
42313003232233
544241101011
64432312543
71121613426
oct267035657
9110260580
1047987631
11250a68aa
12140a2753
139c32463
1465322bd
15432d856
hex2dc3baf

47987631 has 24 divisors (see below), whose sum is σ = 72558720. Its totient is φ = 30528576.

The previous prime is 47987629. The next prime is 47987633. The reversal of 47987631 is 13678974.

47987631 is a `hidden beast` number, since 4 + 7 + 9 + 8 + 7 + 631 = 666.

It is an interprime number because it is at equal distance from previous prime (47987629) and next prime (47987633).

It is not a de Polignac number, because 47987631 - 21 = 47987629 is a prime.

It is a super-2 number, since 2×479876312 = 4605625457984322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47987633) 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 23 ways as a sum of consecutive naturals, for example, 16290 + ... + 19008.

It is an arithmetic number, because the mean of its divisors is an integer number (3023280).

Almost surely, 247987631 is an apocalyptic number.

47987631 is a deficient number, since it is larger than the sum of its proper divisors (24571089).

47987631 is a wasteful number, since it uses less digits than its factorization.

47987631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2812 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 47987631 is about 6927.3105170766. The cubic root of 47987631 is about 363.3928992671.

The spelling of 47987631 in words is "forty-seven million, nine hundred eighty-seven thousand, six hundred thirty-one".

Divisors: 1 3 9 37 53 111 159 333 477 1961 2719 5883 8157 17649 24471 100603 144107 301809 432321 905427 1296963 5331959 15995877 47987631