Search a number
-
+
36439056 = 2432253049
BaseRepresentation
bin1000101100000…
…0010000010000
32112120021222200
42023000100100
533312022211
63341003200
7621504213
oct213002020
975507880
1036439056
1119629225
1210253500
13771aa94
144ba777a
1532ebb56
hex22c0410

36439056 has 30 divisors (see below), whose sum is σ = 101979150. Its totient is φ = 12146304.

The previous prime is 36439033. The next prime is 36439057. The reversal of 36439056 is 65093463.

36439056 is a `hidden beast` number, since 3 + 643 + 9 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34999056 + 1440000 = 5916^2 + 1200^2 .

It is a super-2 number, since 2×364390562 = 2655609604342272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36439056.

It is not an unprimeable number, because it can be changed into a prime (36439057) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126381 + ... + 126668.

It is an arithmetic number, because the mean of its divisors is an integer number (3399305).

Almost surely, 236439056 is an apocalyptic number.

36439056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36439056 is an abundant number, since it is smaller than the sum of its proper divisors (65540094).

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

36439056 is a wasteful number, since it uses less digits than its factorization.

36439056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253063 (or 253054 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 36439056 is about 6036.4771183199. The cubic root of 36439056 is about 331.5296479834.

The spelling of 36439056 in words is "thirty-six million, four hundred thirty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 253049 506098 759147 1012196 1518294 2024392 2277441 3036588 4048784 4554882 6073176 9109764 12146352 18219528 36439056