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83797448 = 23721911251
BaseRepresentation
bin1001111111010…
…10010111001000
312211200100111012
410333222113020
5132423004243
612152023052
72035160300
oct477522710
9184610435
1083797448
1143335299
1224091a88
131448c9b7
14b1b4600
157553d18
hex4fea5c8

83797448 has 48 divisors (see below), whose sum is σ = 192409200. Its totient is φ = 34020000.

The previous prime is 83797447. The next prime is 83797453. The reversal of 83797448 is 84479738.

It is a junction number, because it is equal to n+sod(n) for n = 83797396 and 83797405.

It is not an unprimeable number, because it can be changed into a prime (83797447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1823 + ... + 13073.

It is an arithmetic number, because the mean of its divisors is an integer number (4008525).

Almost surely, 283797448 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 83797448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96204600).

83797448 is an abundant number, since it is smaller than the sum of its proper divisors (108611752).

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

83797448 is a wasteful number, since it uses less digits than its factorization.

83797448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11290 (or 11279 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 50.

The square root of 83797448 is about 9154.0946029632. The cubic root of 83797448 is about 437.5996146503.

The spelling of 83797448 in words is "eighty-three million, seven hundred ninety-seven thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1862 3724 7448 11251 22502 45004 78757 90008 157514 213769 315028 427538 551299 630056 855076 1102598 1496383 1710152 2205196 2992766 4410392 5985532 10474681 11971064 20949362 41898724 83797448