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83191896 = 23328313921
BaseRepresentation
bin1001111010101…
…10100001011000
312210112120211100
410331112201120
5132244120041
612131031400
72030055654
oct475264130
9183476740
1083191896
1142a61337
1223a3b560
131430a198
14b097a64
1574846b6
hex4f56858

83191896 has 48 divisors (see below), whose sum is σ = 228042360. Its totient is φ = 27394560.

The previous prime is 83191891. The next prime is 83191903. The reversal of 83191896 is 69819138.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83191891) 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 11 ways as a sum of consecutive naturals, for example, 985 + ... + 12936.

Almost surely, 283191896 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 83191896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114021180).

83191896 is an abundant number, since it is smaller than the sum of its proper divisors (144850464).

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

83191896 is a wasteful number, since it uses less digits than its factorization.

83191896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14016 (or 14009 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 83191896 is about 9120.9591600884. The cubic root of 83191896 is about 436.5429786489.

The spelling of 83191896 in words is "eighty-three million, one hundred ninety-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 13921 27842 41763 55684 83526 111368 125289 167052 250578 334104 501156 1002312 1155443 2310886 3466329 4621772 6932658 9243544 10398987 13865316 20797974 27730632 41595948 83191896