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82508616 = 23321767409
BaseRepresentation
bin1001110101011…
…11101101001000
312202020212112200
410322233231020
5132110233431
612104240200
72021211621
oct472575510
9182225480
1082508616
1142634a43
1223770060
131412b188
14ad5aa48
15739bee6
hex4eafb48

82508616 has 48 divisors (see below), whose sum is σ = 236609100. Its totient is φ = 25884672.

The previous prime is 82508597. The next prime is 82508677. The reversal of 82508616 is 61680528.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 78322500 + 4186116 = 8850^2 + 2046^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32481 + ... + 34928.

Almost surely, 282508616 is an apocalyptic number.

It is an amenable number.

82508616 is an abundant number, since it is smaller than the sum of its proper divisors (154100484).

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

82508616 is a wasteful number, since it uses less digits than its factorization.

82508616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67438 (or 67431 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 82508616 is about 9083.4253450997. The cubic root of 82508616 is about 435.3445387704.

The spelling of 82508616 in words is "eighty-two million, five hundred eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 67409 134818 202227 269636 404454 539272 606681 808908 1145953 1213362 1617816 2291906 2426724 3437859 4583812 4853448 6875718 9167624 10313577 13751436 20627154 27502872 41254308 82508616