Search a number
-
+
4656022404 = 2231123479241
BaseRepresentation
bin1000101011000010…
…10100001110000100
3110000111010110000020
410111201110032010
534013420204104
62050002415140
7223244352225
oct42541241604
913014113006
104656022404
111a7a226600
12a9b3614b0
13592803957
1432252124c
151c3b5c2d9
hex115854384

4656022404 has 72 divisors (see below), whose sum is σ = 11977188384. Its totient is φ = 1406697600.

The previous prime is 4656022369. The next prime is 4656022421. The reversal of 4656022404 is 4042206564.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499224 + ... + 508464.

Almost surely, 24656022404 is an apocalyptic number.

4656022404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656022404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5988594192).

4656022404 is an abundant number, since it is smaller than the sum of its proper divisors (7321165980).

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

4656022404 is a wasteful number, since it uses less digits than its factorization.

4656022404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9617 (or 9604 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 4656022404 is about 68235.0526049478. The cubic root of 4656022404 is about 1669.8278001416.

Adding to 4656022404 its reverse (4042206564), we get a palindrome (8698228968).

The spelling of 4656022404 in words is "four billion, six hundred fifty-six million, twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 347 363 484 694 726 1041 1388 1452 2082 3817 4164 7634 9241 11451 15268 18482 22902 27723 36964 41987 45804 55446 83974 101651 110892 125961 167948 203302 251922 304953 406604 503844 609906 1118161 1219812 2236322 3206627 3354483 4472644 6413254 6708966 9619881 12826508 13417932 19239762 35272897 38479524 70545794 105818691 141091588 211637382 388001867 423274764 776003734 1164005601 1552007468 2328011202 4656022404