Search a number
-
+
7629138 = 2321153727
BaseRepresentation
bin11101000110100101010010
3112100121012200
4131012211102
53423113023
6431304030
7121563246
oct35064522
915317180
107629138
114340980
12267b016
1317716aa
141028426
15a0a743
hex746952

7629138 has 48 divisors (see below), whose sum is σ = 18398016. Its totient is φ = 2265120.

The previous prime is 7629137. The next prime is 7629143. The reversal of 7629138 is 8319267.

It is not an unprimeable number, because it can be changed into a prime (7629133) 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 23 ways as a sum of consecutive naturals, for example, 10131 + ... + 10857.

It is an arithmetic number, because the mean of its divisors is an integer number (383292).

Almost surely, 27629138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7629138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9199008).

7629138 is an abundant number, since it is smaller than the sum of its proper divisors (10768878).

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

7629138 is a wasteful number, since it uses less digits than its factorization.

7629138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 796 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 7629138 is about 2762.0894265031. The cubic root of 7629138 is about 196.8604575804.

The spelling of 7629138 in words is "seven million, six hundred twenty-nine thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 727 954 1166 1454 1749 2181 3498 4362 5247 6543 7997 10494 13086 15994 23991 38531 47982 71973 77062 115593 143946 231186 346779 423841 693558 847682 1271523 2543046 3814569 7629138