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36152032 = 257251643
BaseRepresentation
bin1000100111101…
…0001011100000
32112000201021011
42021322023200
533223331112
63330510304
7616200340
oct211721340
975021234
1036152032
1119452614
1210135394
13764a247
144b30d20
153291aa7
hex227a2e0

36152032 has 48 divisors (see below), whose sum is σ = 81793152. Its totient is φ = 15408000.

The previous prime is 36152029. The next prime is 36152033. The reversal of 36152032 is 23025163.

It is a junction number, because it is equal to n+sod(n) for n = 36151994 and 36152012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36152033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55903 + ... + 56545.

It is an arithmetic number, because the mean of its divisors is an integer number (1704024).

Almost surely, 236152032 is an apocalyptic number.

36152032 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 36152032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40896576).

36152032 is an abundant number, since it is smaller than the sum of its proper divisors (45641120).

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

36152032 is a wasteful number, since it uses less digits than its factorization.

36152032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 36152032 is about 6012.6559855026. The cubic root of 36152032 is about 330.6568856223.

Adding to 36152032 its reverse (23025163), we get a palindrome (59177195).

The spelling of 36152032 in words is "thirty-six million, one hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 251 502 643 1004 1286 1757 2008 2572 3514 4016 4501 5144 7028 8032 9002 10288 14056 18004 20576 28112 36008 56224 72016 144032 161393 322786 645572 1129751 1291144 2259502 2582288 4519004 5164576 9038008 18076016 36152032