Search a number
-
+
36255872 = 271491901
BaseRepresentation
bin1000101001001…
…1100010000000
32112012222201002
42022103202000
533240141442
63333031132
7620112152
oct212234200
975188632
1036255872
1119513634
12101854a8
1376855a3
144b5aad2
1532b2732
hex2293880

36255872 has 32 divisors (see below), whose sum is σ = 72751500. Its totient is φ = 17996800.

The previous prime is 36255851. The next prime is 36255881. The reversal of 36255872 is 27855263.

It can be written as a sum of positive squares in 2 ways, for example, as 28987456 + 7268416 = 5384^2 + 2696^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18122 + ... + 20022.

Almost surely, 236255872 is an apocalyptic number.

36255872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36255872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36375750).

36255872 is an abundant number, since it is smaller than the sum of its proper divisors (36495628).

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

36255872 is a wasteful number, since it uses less digits than its factorization.

36255872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2052 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 36255872 is about 6021.2849127076. The cubic root of 36255872 is about 330.9731665009.

The spelling of 36255872 in words is "thirty-six million, two hundred fifty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 149 298 596 1192 1901 2384 3802 4768 7604 9536 15208 19072 30416 60832 121664 243328 283249 566498 1132996 2265992 4531984 9063968 18127936 36255872