Search a number
-
+
4249980 = 2232573373
BaseRepresentation
bin10000001101100101111100
321222220212200
4100031211330
52041444410
6231031500
751060420
oct20154574
97886780
104249980
112443089
12150b590
13b5a5a7
147c8b80
1558e3c0
hex40d97c

4249980 has 72 divisors (see below), whose sum is σ = 14737632. Its totient is φ = 971136.

The previous prime is 4249969. The next prime is 4249981. The reversal of 4249980 is 899424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4249981) 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, 427 + ... + 2946.

Almost surely, 24249980 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 4249980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368816).

4249980 is an abundant number, since it is smaller than the sum of its proper divisors (10487652).

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

4249980 is a wasteful number, since it uses less digits than its factorization.

4249980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4249980 is about 2061.5479620906. The cubic root of 4249980 is about 161.9803359763.

It can be divided in two parts, 424 and 9980, that added together give a square (10404 = 1022).

The spelling of 4249980 in words is "four million, two hundred forty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 3373 6746 10119 13492 16865 20238 23611 30357 33730 40476 47222 50595 60714 67460 70833 94444 101190 118055 121428 141666 151785 202380 212499 236110 283332 303570 354165 424998 472220 607140 708330 849996 1062495 1416660 2124990 4249980