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36782145 = 3257311197
BaseRepresentation
bin1000110001010…
…0000001000001
32120012201121200
42030110001001
533404012040
63352211413
7624433401
oct214240101
976181550
1036782145
1119842a74
1210399b69
13780acaa
144c56801
153368630
hex2314041

36782145 has 24 divisors (see below), whose sum is σ = 64634856. Its totient is φ = 19346688.

The previous prime is 36782113. The next prime is 36782147. The reversal of 36782145 is 54128763.

It can be written as a sum of positive squares in 4 ways, for example, as 1640961 + 35141184 = 1281^2 + 5928^2 .

It is not a de Polignac number, because 36782145 - 25 = 36782113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36782147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2314 + ... + 8883.

It is an arithmetic number, because the mean of its divisors is an integer number (2693119).

Almost surely, 236782145 is an apocalyptic number.

It is an amenable number.

36782145 is a deficient number, since it is larger than the sum of its proper divisors (27852711).

36782145 is a wasteful number, since it uses less digits than its factorization.

36782145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11281 (or 11278 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 36782145 is about 6064.8285218957. The cubic root of 36782145 is about 332.5668962957.

The spelling of 36782145 in words is "thirty-six million, seven hundred eighty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 73 219 365 657 1095 3285 11197 33591 55985 100773 167955 503865 817381 2452143 4086905 7356429 12260715 36782145