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83016448 = 28479677
BaseRepresentation
bin1001111001010…
…11101100000000
312210012200011021
410330223230000
5132223011243
612123155224
72025425314
oct474535400
9183180137
1083016448
1142951539
1223975b14
1314278378
14b04db44
15744c6ed
hex4f2bb00

83016448 has 36 divisors (see below), whose sum is σ = 166299840. Its totient is φ = 41360384.

The previous prime is 83016443. The next prime is 83016449. The reversal of 83016448 is 84461038.

It is not an unprimeable number, because it can be changed into a prime (83016443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 122286 + ... + 122962.

It is an arithmetic number, because the mean of its divisors is an integer number (4619440).

Almost surely, 283016448 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 83016448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83149920).

83016448 is an abundant number, since it is smaller than the sum of its proper divisors (83283392).

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

83016448 is an equidigital number, since it uses as much as digits as its factorization.

83016448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 83016448 is about 9111.3362357011. The cubic root of 83016448 is about 436.2358794345.

The spelling of 83016448 in words is "eighty-three million, sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 479 677 958 1354 1916 2708 3832 5416 7664 10832 15328 21664 30656 43328 61312 86656 122624 173312 324283 648566 1297132 2594264 5188528 10377056 20754112 41508224 83016448