Search a number
-
+
36209152 = 29710103
BaseRepresentation
bin1000101000100…
…0001000000000
32112010121121201
42022020020000
533232143102
63332030544
7616526020
oct212101000
975117551
1036209152
1119491521
1210162454
13766a245
144b47a80
1532a3987
hex2288200

36209152 has 40 divisors (see below), whose sum is σ = 82691136. Its totient is φ = 15516672.

The previous prime is 36209149. The next prime is 36209161. The reversal of 36209152 is 25190263.

It is a super-2 number, since 2×362091522 = 2622205377118208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 36209152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1468 + ... + 8635.

Almost surely, 236209152 is an apocalyptic number.

36209152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36209152 is an abundant number, since it is smaller than the sum of its proper divisors (46481984).

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

36209152 is an equidigital number, since it uses as much as digits as its factorization.

36209152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10128 (or 10112 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 36209152 is about 6017.4040914667. The cubic root of 36209152 is about 330.8309393044.

The spelling of 36209152 in words is "thirty-six million, two hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 10103 20206 40412 70721 80824 141442 161648 282884 323296 565768 646592 1131536 1293184 2263072 2586368 4526144 5172736 9052288 18104576 36209152