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83160352 = 2511317621
BaseRepresentation
bin1001111010011…
…10110100100000
312210110222120001
410331032310200
5132242112402
612130225344
72026565002
oct475166440
9183428501
1083160352
1142a3a670
1223a25254
13142c8a12
14b08a372
15747a187
hex4f4ed20

83160352 has 48 divisors (see below), whose sum is σ = 184391424. Its totient is φ = 36576000.

The previous prime is 83160347. The next prime is 83160353. The reversal of 83160352 is 25306138.

It is a self number, because there is not a number n which added to its sum of digits gives 83160352.

It is not an unprimeable number, because it can be changed into a prime (83160353) 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 7 ways as a sum of consecutive naturals, for example, 7102 + ... + 14722.

It is an arithmetic number, because the mean of its divisors is an integer number (3841488).

Almost surely, 283160352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83160352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92195712).

83160352 is an abundant number, since it is smaller than the sum of its proper divisors (101231072).

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

83160352 is a wasteful number, since it uses less digits than its factorization.

83160352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7673 (or 7665 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 83160352 is about 9119.2297920384. The cubic root of 83160352 is about 436.4877967815.

The spelling of 83160352 in words is "eighty-three million, one hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 7621 10912 15242 30484 60968 83831 121936 167662 236251 243872 335324 472502 670648 945004 1341296 1890008 2598761 2682592 3780016 5197522 7560032 10395044 20790088 41580176 83160352