Search a number
-
+
1252050306 = 231317267829
BaseRepresentation
bin100101010100000…
…1100010110000010
310020020221202010120
41022220030112002
510031011102211
6324123441110
743012152303
oct11250142602
93206852116
101252050306
11592827a21
122ab386196
1316c519b90
14bc3dc7aa
1574dbcd06
hex4aa0c582

1252050306 has 96 divisors (see below), whose sum is σ = 2910949440. Its totient is φ = 356742144.

The previous prime is 1252050301. The next prime is 1252050311. The reversal of 1252050306 is 6030502521.

It is an interprime number because it is at equal distance from previous prime (1252050301) and next prime (1252050311).

It is not an unprimeable number, because it can be changed into a prime (1252050301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1509900 + ... + 1510728.

It is an arithmetic number, because the mean of its divisors is an integer number (30322390).

Almost surely, 21252050306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252050306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455474720).

1252050306 is an abundant number, since it is smaller than the sum of its proper divisors (1658899134).

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

1252050306 is a wasteful number, since it uses less digits than its factorization.

1252050306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1252050306 is about 35384.3228845770. The cubic root of 1252050306 is about 1077.8059900087.

Adding to 1252050306 its reverse (6030502521), we get a palindrome (7282552827).

It can be divided in two parts, 12520 and 50306, that added together give a palindrome (62826).

The spelling of 1252050306 in words is "one billion, two hundred fifty-two million, fifty thousand, three hundred six".

Divisors: 1 2 3 6 13 17 26 34 39 51 67 78 102 134 201 221 289 402 442 578 663 829 867 871 1139 1326 1658 1734 1742 2278 2487 2613 3417 3757 4974 5226 6834 7514 10777 11271 14093 14807 19363 21554 22542 28186 29614 32331 38726 42279 44421 55543 58089 64662 84558 88842 111086 116178 166629 183209 239581 251719 333258 366418 479162 503438 549627 718743 722059 755157 944231 1099254 1437486 1444118 1510314 1888462 2166177 2832693 3114553 4332354 5665386 6229106 9343659 12275003 16051927 18687318 24550006 32103854 36825009 48155781 73650018 96311562 208675051 417350102 626025153 1252050306