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83019342 = 23737411303
BaseRepresentation
bin1001111001011…
…00011001001110
312210012211010110
410330230121032
5132223104332
612123220450
72025436620
oct474543116
9183184113
1083019342
114295372a
1223977726
1314279793
14b050c10
15744d4cc
hex4f2c64e

83019342 has 64 divisors (see below), whose sum is σ = 199793664. Its totient is φ = 22498560.

The previous prime is 83019317. The next prime is 83019361. The reversal of 83019342 is 24391038.

It is a super-2 number, since 2×830193422 = 13784422292225928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63063 + ... + 64365.

It is an arithmetic number, because the mean of its divisors is an integer number (3121776).

Almost surely, 283019342 is an apocalyptic number.

83019342 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 83019342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99896832).

83019342 is an abundant number, since it is smaller than the sum of its proper divisors (116774322).

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

83019342 is a wasteful number, since it uses less digits than its factorization.

83019342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 83019342 is about 9111.4950474661. The cubic root of 83019342 is about 436.2409485181.

The spelling of 83019342 in words is "eighty-three million, nineteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 41 42 74 82 111 123 222 246 259 287 518 574 777 861 1303 1517 1554 1722 2606 3034 3909 4551 7818 9102 9121 10619 18242 21238 27363 31857 48211 53423 54726 63714 96422 106846 144633 160269 289266 320538 337477 373961 674954 747922 1012431 1121883 1976651 2024862 2243766 3953302 5929953 11859906 13836557 27673114 41509671 83019342