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47663460 = 223251320369
BaseRepresentation
bin1011010111010…
…0100101100100
310022200112222100
42311310211210
544200212320
64421332100
71116063345
oct265644544
9108615870
1047663460
11249a5299
1213b67030
139b4aa40
14648a0cc
1542b7790
hex2d74964

47663460 has 72 divisors (see below), whose sum is σ = 155708280. Its totient is φ = 11731968.

The previous prime is 47663459. The next prime is 47663467. The reversal of 47663460 is 6436674.

47663460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 45077796 = 1608^2 + 6714^2 .

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

It is not an unprimeable number, because it can be changed into a prime (47663467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7845 + ... + 12524.

It is an arithmetic number, because the mean of its divisors is an integer number (2162615).

Almost surely, 247663460 is an apocalyptic number.

It is an amenable number.

47663460 is an abundant number, since it is smaller than the sum of its proper divisors (108044820).

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

47663460 is a wasteful number, since it uses less digits than its factorization.

47663460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20397 (or 20392 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 47663460 is about 6903.8728261752. The cubic root of 47663460 is about 362.5727733403.

It can be divided in two parts, 476 and 63460, that added together give a palindrome (63936).

The spelling of 47663460 in words is "forty-seven million, six hundred sixty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 20369 40738 61107 81476 101845 122214 183321 203690 244428 264797 305535 366642 407380 529594 611070 733284 794391 916605 1059188 1222140 1323985 1588782 1833210 2383173 2647970 3177564 3666420 3971955 4766346 5295940 7943910 9532692 11915865 15887820 23831730 47663460