Search a number
-
+
47677014 = 23271141839
BaseRepresentation
bin1011010111011…
…1111001010110
310022201020120100
42311313321112
544201131024
64421514530
71116151020
oct265677126
9108636510
1047677014
1124a044a0
1213b72a46
139b53c68
146491010
1542bb7c9
hex2d77e56

47677014 has 96 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 12067200.

The previous prime is 47677013. The next prime is 47677031. The reversal of 47677014 is 41077674.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 47677014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47677013) 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 47 ways as a sum of consecutive naturals, for example, 56407 + ... + 57245.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 247677014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47677014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

47677014 is an abundant number, since it is smaller than the sum of its proper divisors (84411306).

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

47677014 is a wasteful number, since it uses less digits than its factorization.

47677014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 47677014 is about 6904.8543793479. The cubic root of 47677014 is about 362.6071382089.

It can be divided in two parts, 4767 and 7014, that added together give a triangular number (11781 = T153).

The spelling of 47677014 in words is "forty-seven million, six hundred seventy-seven thousand, fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 41 42 63 66 77 82 99 123 126 154 198 231 246 287 369 451 462 574 693 738 839 861 902 1353 1386 1678 1722 2517 2583 2706 3157 4059 5034 5166 5873 6314 7551 8118 9229 9471 11746 15102 17619 18458 18942 27687 28413 34399 35238 52857 55374 56826 64603 68798 83061 103197 105714 129206 166122 193809 206394 240793 309591 378389 387618 481586 581427 619182 722379 756778 1135167 1162854 1444758 2167137 2270334 2648723 3405501 4334274 5297446 6811002 7946169 15892338 23838507 47677014