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82935099 = 32132924443
BaseRepresentation
bin1001111000101…
…11110100111011
312210001112120100
410330113310323
5132212410344
612121330443
72024636202
oct474276473
9183045510
1082935099
11428a6405
1223936a23
131424a330
14b02c239
157433569
hex4f17d3b

82935099 has 24 divisors (see below), whose sum is σ = 133464240. Its totient is φ = 49275072.

The previous prime is 82935077. The next prime is 82935101. The reversal of 82935099 is 99053928.

It is not a de Polignac number, because 82935099 - 28 = 82934843 is a prime.

It is a super-4 number, since 4×829350994 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (82935049) 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, 8829 + ... + 15614.

It is an arithmetic number, because the mean of its divisors is an integer number (5561010).

Almost surely, 282935099 is an apocalyptic number.

82935099 is a deficient number, since it is larger than the sum of its proper divisors (50529141).

82935099 is a wasteful number, since it uses less digits than its factorization.

82935099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24491 (or 24488 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 82935099 is about 9106.8709774543. The cubic root of 82935099 is about 436.0933416152.

The spelling of 82935099 in words is "eighty-two million, nine hundred thirty-five thousand, ninety-nine".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 24443 73329 219987 317759 708847 953277 2126541 2859831 6379623 9215011 27645033 82935099