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83103048 = 233272367107
BaseRepresentation
bin1001111010000…
…00110101001000
312210101001221200
410331000311020
5132233244143
612125104200
72026235640
oct475006510
9183331850
1083103048
1142a00606
12239b8060
13142a8902
14b073520
1574681d3
hex4f40d48

83103048 has 192 divisors, whose sum is σ = 274959360. Its totient is φ = 22163328.

The previous prime is 83103037. The next prime is 83103079. The reversal of 83103048 is 84030138.

It is a super-2 number, since 2×831030482 = 13812233173780608, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 776611 + ... + 776717.

It is an arithmetic number, because the mean of its divisors is an integer number (1432080).

Almost surely, 283103048 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 83103048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137479680).

83103048 is an abundant number, since it is smaller than the sum of its proper divisors (191856312).

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

83103048 is a wasteful number, since it uses less digits than its factorization.

83103048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83103048 is about 9116.0873185814. The cubic root of 83103048 is about 436.3875156440.

The spelling of 83103048 in words is "eighty-three million, one hundred three thousand, forty-eight".