Search a number
-
+
36152025 = 3527135297
BaseRepresentation
bin1000100111101…
…0001011011001
32112000201020220
42021322023121
533223331100
63330510253
7616200330
oct211721331
975021226
1036152025
1119452608
1210135389
13764a240
144b30d17
153291aa0
hex227a2d9

36152025 has 48 divisors (see below), whose sum is σ = 73578624. Its totient is φ = 15252480.

The previous prime is 36152023. The next prime is 36152027. The reversal of 36152025 is 52025163.

36152025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36152023) and next prime (36152027).

It is not a de Polignac number, because 36152025 - 21 = 36152023 is a prime.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 36151986 and 36152004.

It is not an unprimeable number, because it can be changed into a prime (36152023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4177 + ... + 9473.

It is an arithmetic number, because the mean of its divisors is an integer number (1532888).

Almost surely, 236152025 is an apocalyptic number.

36152025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36152025 is an abundant number, since it is smaller than the sum of its proper divisors (37426599).

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

36152025 is a wasteful number, since it uses less digits than its factorization.

36152025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 36152025 is about 6012.6554033971. The cubic root of 36152025 is about 330.6568642810.

Adding to 36152025 its reverse (52025163), we get a palindrome (88177188).

The spelling of 36152025 in words is "thirty-six million, one hundred fifty-two thousand, twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 273 325 455 525 975 1365 2275 5297 6825 15891 26485 37079 68861 79455 111237 132425 185395 206583 344305 397275 482027 556185 926975 1032915 1446081 1721525 2410135 2780925 5164575 7230405 12050675 36152025