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83981742 = 23131318219
BaseRepresentation
bin1010000000101…
…11010110101110
312212000201021220
411000113112232
5132444403432
612200004210
72036555505
oct500272656
9185021256
1083981742
11434507a9
1224160666
1314525850
14b22183c
15758d72c
hex50175ae

83981742 has 32 divisors (see below), whose sum is σ = 182286720. Its totient is φ = 25640160.

The previous prime is 83981741. The next prime is 83981743. The reversal of 83981742 is 24718938.

It is an interprime number because it is at equal distance from previous prime (83981741) and next prime (83981743).

It is a junction number, because it is equal to n+sod(n) for n = 83981694 and 83981703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83981741) 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 15 ways as a sum of consecutive naturals, for example, 6109 + ... + 14327.

It is an arithmetic number, because the mean of its divisors is an integer number (5696460).

Almost surely, 283981742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83981742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91143360).

83981742 is an abundant number, since it is smaller than the sum of its proper divisors (98304978).

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

83981742 is a wasteful number, since it uses less digits than its factorization.

83981742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8368.

The product of its digits is 96768, while the sum is 42.

The square root of 83981742 is about 9164.1552802209. The cubic root of 83981742 is about 437.9201810306.

The spelling of 83981742 in words is "eighty-three million, nine hundred eighty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 131 262 393 786 1703 3406 5109 8219 10218 16438 24657 49314 106847 213694 320541 641082 1076689 2153378 3230067 6460134 13996957 27993914 41990871 83981742