Search a number
-
+
2429988 = 2231141449
BaseRepresentation
bin1001010001010000100100
311120110022120
421101100210
51110224423
6124025540
726440341
oct11212044
94513276
102429988
11140a760
129922b0
13671082
144737c8
1532eee3
hex251424

2429988 has 48 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 716800.

The previous prime is 2429983. The next prime is 2430007. The reversal of 2429988 is 8899242.

It is not an unprimeable number, because it can be changed into a prime (2429983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5188 + ... + 5636.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

22429988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2429988 is an abundant number, since it is smaller than the sum of its proper divisors (3920412).

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

2429988 is a wasteful number, since it uses less digits than its factorization.

2429988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 506 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 2429988 is about 1558.8418778054. The cubic root of 2429988 is about 134.4419210924.

It can be divided in two parts, 24299 and 88, that multiplied together give a palindrome (2138312).

The spelling of 2429988 in words is "two million, four hundred twenty-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 449 451 492 898 902 1347 1353 1796 1804 2694 2706 4939 5388 5412 9878 14817 18409 19756 29634 36818 55227 59268 73636 110454 202499 220908 404998 607497 809996 1214994 2429988