Search a number
-
+
47467890 = 2335192487
BaseRepresentation
bin1011010100010…
…0110101110010
310022022121201000
42311010311302
544122433030
64413222430
71114320231
oct265046562
9108277630
1047467890
1124881368
1213a91a16
139aaca12
146438b18
154279860
hex2d44d72

47467890 has 96 divisors (see below), whose sum is σ = 133868160. Its totient is φ = 11967264.

The previous prime is 47467853. The next prime is 47467891. The reversal of 47467890 is 9876474.

47467890 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 (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47467891) 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 47 ways as a sum of consecutive naturals, for example, 97227 + ... + 97713.

It is an arithmetic number, because the mean of its divisors is an integer number (1394460).

Almost surely, 247467890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47467890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66934080).

47467890 is an abundant number, since it is smaller than the sum of its proper divisors (86400270).

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

47467890 is a wasteful number, since it uses less digits than its factorization.

47467890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 47467890 is about 6889.6944779867. The cubic root of 47467890 is about 362.0761975473.

The spelling of 47467890 in words is "forty-seven million, four hundred sixty-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 361 487 513 570 722 855 974 1026 1083 1461 1710 1805 2166 2435 2565 2922 3249 3610 4383 4870 5130 5415 6498 7305 8766 9253 9747 10830 13149 14610 16245 18506 19494 21915 26298 27759 32490 43830 46265 48735 55518 65745 83277 92530 97470 131490 138795 166554 175807 249831 277590 351614 416385 499662 527421 832770 879035 1054842 1249155 1582263 1758070 2498310 2637105 3164526 4746789 5274210 7911315 9493578 15822630 23733945 47467890