Search a number
-
+
4122724650 = 2352116140961
BaseRepresentation
bin1111010110111011…
…1100100100101010
3101122022122010000120
43311232330210222
531420404142100
61521032144110
7204110403252
oct36556744452
911568563016
104122724650
111826197060
12970838036
13509190855
142b177c962
15191e180a0
hexf5bbc92a

4122724650 has 96 divisors (see below), whose sum is σ = 11336970816. Its totient is φ = 983040000.

The previous prime is 4122724649. The next prime is 4122724679. The reversal of 4122724650 is 564272214.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80170 + ... + 121130.

It is an arithmetic number, because the mean of its divisors is an integer number (118093446).

Almost surely, 24122724650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122724650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5668485408).

4122724650 is an abundant number, since it is smaller than the sum of its proper divisors (7214246166).

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

4122724650 is a wasteful number, since it uses less digits than its factorization.

4122724650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41048 (or 41043 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 4122724650 is about 64208.4468742236. The cubic root of 4122724650 is about 1603.4722314401.

Adding to 4122724650 its reverse (564272214), we get a palindrome (4686996864).

The spelling of 4122724650 in words is "four billion, one hundred twenty-two million, seven hundred twenty-four thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 61 66 75 110 122 150 165 183 275 305 330 366 550 610 671 825 915 1342 1525 1650 1830 2013 3050 3355 4026 4575 6710 9150 10065 16775 20130 33550 40961 50325 81922 100650 122883 204805 245766 409610 450571 614415 901142 1024025 1228830 1351713 2048050 2252855 2498621 2703426 3072075 4505710 4997242 6144150 6758565 7495863 11264275 12493105 13517130 14991726 22528550 24986210 27484831 33792825 37479315 54969662 62465525 67585650 74958630 82454493 124931050 137424155 164908986 187396575 274848310 374793150 412272465 687120775 824544930 1374241550 2061362325 4122724650