Search a number
-
+
47730774 = 237131943107
BaseRepresentation
bin1011011000010…
…1000001010110
310022210222022110
42312011001112
544204341044
64423011450
71116463530
oct266050126
9108728273
1047730774
1124a40923
1213b99b86
139b72580
1464a6850
1542cc6b9
hex2d85056

47730774 has 128 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 11539584.

The previous prime is 47730769. The next prime is 47730779. The reversal of 47730774 is 47703774.

It is an interprime number because it is at equal distance from previous prime (47730769) and next prime (47730779).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47730779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 446029 + ... + 446135.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 247730774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47730774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866880).

47730774 is an abundant number, since it is smaller than the sum of its proper divisors (80002986).

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

47730774 is a wasteful number, since it uses less digits than its factorization.

47730774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194.

The product of its (nonzero) digits is 115248, while the sum is 39.

The square root of 47730774 is about 6908.7461959461. The cubic root of 47730774 is about 362.7433774273.

Subtracting from 47730774 its reverse (47703774), we obtain a cube (27000 = 303).

The spelling of 47730774 in words is "forty-seven million, seven hundred thirty thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 43 57 78 86 91 107 114 129 133 182 214 247 258 266 273 301 321 399 494 546 559 602 642 741 749 798 817 903 1118 1391 1482 1498 1634 1677 1729 1806 2033 2247 2451 2782 3354 3458 3913 4066 4173 4494 4601 4902 5187 5719 6099 7826 8346 9202 9737 10374 10621 11438 11739 12198 13803 14231 17157 19474 21242 23478 26429 27606 28462 29211 31863 32207 34314 42693 52858 58422 59813 63726 64414 74347 79287 85386 87419 96621 119626 148694 158574 174838 179439 185003 193242 223041 262257 358878 370006 418691 446082 524514 555009 611933 837382 1110018 1136447 1223866 1256073 1835799 2272894 2512146 3409341 3671598 6818682 7955129 15910258 23865387 47730774