[go: up one dir, main page]

Search a number
-
+
4684087386 = 233112757947
BaseRepresentation
bin1000101110011000…
…11000000001011010
3110002102221021221000
410113030120001122
534043111244021
62052444125430
7224035041306
oct42714300132
913072837830
104684087386
111a94055200
12aa8836876
1359857bc54
14326148d06
151c6352b26
hex11731805a

4684087386 has 96 divisors (see below), whose sum is σ = 11468600640. Its totient is φ = 1416048480.

The previous prime is 4684087381. The next prime is 4684087393. The reversal of 4684087386 is 6837804864.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4684087381) 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, 4945765 + ... + 4946711.

It is an arithmetic number, because the mean of its divisors is an integer number (119464590).

Almost surely, 24684087386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4684087386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734300320).

4684087386 is an abundant number, since it is smaller than the sum of its proper divisors (6784513254).

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

4684087386 is a wasteful number, since it uses less digits than its factorization.

4684087386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 4684087386 is about 68440.3929415955. The cubic root of 4684087386 is about 1673.1761403830.

The spelling of 4684087386 in words is "four billion, six hundred eighty-four million, eighty-seven thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 757 947 1089 1514 1894 2178 2271 2841 3267 4542 5682 6534 6813 8327 8523 10417 13626 16654 17046 20439 20834 24981 25569 31251 40878 49962 51138 62502 74943 91597 93753 114587 149886 183194 187506 224829 229174 274791 281259 343761 449658 549582 562518 687522 716879 824373 1031283 1433758 1648746 2062566 2150637 2473119 3093849 4301274 4946238 6187698 6451911 7885669 12903822 15771338 19355733 23657007 38711466 47314014 70971021 86742359 141942042 173484718 212913063 260227077 425826126 520454154 780681231 1561362462 2342043693 4684087386