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36252441 = 362232
BaseRepresentation
bin1000101001001…
…0101100011001
32112012211000000
42022102230121
533240034231
63333003213
7620066151
oct212225431
975184000
1036252441
1119510aa5
1210183509
137683b64
144b59761
1532b16e6
hex2292b19

36252441 has 21 divisors (see below), whose sum is σ = 54598629. Its totient is φ = 24059916.

The previous prime is 36252431. The next prime is 36252467. The reversal of 36252441 is 14425263.

The square root of 36252441 is 6021.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 36252441 - 25 = 36252409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (36252401) 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 20 ways as a sum of consecutive naturals, for example, 162456 + ... + 162678.

Almost surely, 236252441 is an apocalyptic number.

36252441 is the 6021-st square number.

36252441 is the 3011-st centered octagonal number.

It is an amenable number.

36252441 is a deficient number, since it is larger than the sum of its proper divisors (18346188).

36252441 is an frugal number, since it uses more digits than its factorization.

36252441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 226 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The cubic root of 36252441 is about 330.9627258496.

The spelling of 36252441 in words is "thirty-six million, two hundred fifty-two thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 223 243 669 729 2007 6021 18063 49729 54189 149187 162567 447561 1342683 4028049 12084147 36252441