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82952145 = 3252380147
BaseRepresentation
bin1001111000110…
…11111111010001
312210002101221200
410330123333101
5132213432040
612121541413
72025036663
oct474337721
9183071850
1082952145
11429081a1
1223944869
1314255013
14b034533
157438630
hex4f1bfd1

82952145 has 24 divisors (see below), whose sum is σ = 150037056. Its totient is φ = 42317088.

The previous prime is 82952141. The next prime is 82952159. The reversal of 82952145 is 54125928.

It is not a de Polignac number, because 82952145 - 22 = 82952141 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82952141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39039 + ... + 41108.

It is an arithmetic number, because the mean of its divisors is an integer number (6251544).

Almost surely, 282952145 is an apocalyptic number.

It is an amenable number.

82952145 is a deficient number, since it is larger than the sum of its proper divisors (67084911).

82952145 is a wasteful number, since it uses less digits than its factorization.

82952145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80181 (or 80178 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 82952145 is about 9107.8068161331. The cubic root of 82952145 is about 436.1232169352.

It can be divided in two parts, 8295 and 2145, that added together give a triangular number (10440 = T144).

The spelling of 82952145 in words is "eighty-two million, nine hundred fifty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 80147 240441 400735 721323 1202205 1843381 3606615 5530143 9216905 16590429 27650715 82952145