Search a number
-
+
36242436 = 223171011759
BaseRepresentation
bin1000101001000…
…0010000000100
32112012022021110
42022100100010
533234224221
63332445020
7620025036
oct212202004
975168243
1036242436
111950452a
1210179770
13767c439
144b55c56
1532ad776
hex2290404

36242436 has 48 divisors (see below), whose sum is σ = 90478080. Its totient is φ = 11251200.

The previous prime is 36242429. The next prime is 36242449. The reversal of 36242436 is 63424263.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19725 + ... + 21483.

It is an arithmetic number, because the mean of its divisors is an integer number (1884960).

Almost surely, 236242436 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 36242436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45239040).

36242436 is an abundant number, since it is smaller than the sum of its proper divisors (54235644).

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

36242436 is a wasteful number, since it uses less digits than its factorization.

36242436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1882 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 36242436 is about 6020.1691006150. The cubic root of 36242436 is about 330.9322765277.

Adding to 36242436 its reverse (63424263), we get a palindrome (99666699).

The spelling of 36242436 in words is "thirty-six million, two hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 303 404 606 1212 1717 1759 3434 3518 5151 5277 6868 7036 10302 10554 20604 21108 29903 59806 89709 119612 177659 179418 355318 358836 532977 710636 1065954 2131908 3020203 6040406 9060609 12080812 18121218 36242436