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82969947 = 3323237157
BaseRepresentation
bin1001111001000…
…00010101011011
312210010022101000
410330200111123
5132220014242
612122200043
72025142614
oct474402533
9183108330
1082969947
114291a605
1223953023
1314260158
14b03ac0b
15743da4c
hex4f2055b

82969947 has 48 divisors (see below), whose sum is σ = 132808480. Its totient is φ = 51150528.

The previous prime is 82969921. The next prime is 82969949. The reversal of 82969947 is 74996928.

It is not a de Polignac number, because 82969947 - 210 = 82968923 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82969893 and 82969902.

It is not an unprimeable number, because it can be changed into a prime (82969949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528393 + ... + 528549.

Almost surely, 282969947 is an apocalyptic number.

82969947 is a deficient number, since it is larger than the sum of its proper divisors (49838533).

82969947 is a wasteful number, since it uses less digits than its factorization.

82969947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 220 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 82969947 is about 9108.7840571615. The cubic root of 82969947 is about 436.1544128743.

The spelling of 82969947 in words is "eighty-two million, nine hundred sixty-nine thousand, nine hundred forty-seven".

Divisors: 1 3 9 23 27 37 69 111 157 207 333 471 529 621 851 999 1413 1587 2553 3611 4239 4761 5809 7659 10833 14283 17427 19573 22977 32499 52281 58719 83053 97497 133607 156843 176157 249159 400821 528471 747477 1202463 2242431 3072961 3607389 9218883 27656649 82969947