Search a number
-
+
47536740 = 22335471873
BaseRepresentation
bin1011010101010…
…1101001100100
310022110010011000
42311111221210
544132133430
64414513300
71115025036
oct265255144
9108403130
1047536740
1124919069
1213b05830
139b05164
146455c56
15428ee60
hex2d55a64

47536740 has 96 divisors (see below), whose sum is σ = 151119360. Its totient is φ = 12400128.

The previous prime is 47536729. The next prime is 47536747. The reversal of 47536740 is 4763574.

47536740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 47536695 and 47536704.

It is not an unprimeable number, because it can be changed into a prime (47536747) 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 31 ways as a sum of consecutive naturals, for example, 24444 + ... + 26316.

It is an arithmetic number, because the mean of its divisors is an integer number (1574160).

Almost surely, 247536740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47536740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75559680).

47536740 is an abundant number, since it is smaller than the sum of its proper divisors (103582620).

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

47536740 is a wasteful number, since it uses less digits than its factorization.

47536740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 47536740 is about 6894.6892605831. The cubic root of 47536740 is about 362.2511712902.

The spelling of 47536740 in words is "forty-seven million, five hundred thirty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 1873 2115 2538 2820 3746 4230 5076 5619 6345 7492 8460 9365 11238 12690 16857 18730 22476 25380 28095 33714 37460 50571 56190 67428 84285 88031 101142 112380 168570 176062 202284 252855 264093 337140 352124 440155 505710 528186 792279 880310 1011420 1056372 1320465 1584558 1760620 2376837 2640930 3169116 3961395 4753674 5281860 7922790 9507348 11884185 15845580 23768370 47536740