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83938122 = 232294012
BaseRepresentation
bin1010000000011…
…00101101001010
312211221111110100
411000030231022
5132442004442
612155030230
72036314362
oct500145512
9184844410
1083938122
1143420a54
122413b376
131450ba38
14b20d9a2
15758084c
hex500cb4a

83938122 has 36 divisors (see below), whose sum is σ = 188607510. Its totient is φ = 26947200.

The previous prime is 83938103. The next prime is 83938123. The reversal of 83938122 is 22183938.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 76370121 + 7568001 = 8739^2 + 2751^2 .

It is not an unprimeable number, because it can be changed into a prime (83938123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 209122 + ... + 209522.

Almost surely, 283938122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83938122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94303755).

83938122 is an abundant number, since it is smaller than the sum of its proper divisors (104669388).

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

83938122 is a wasteful number, since it uses less digits than its factorization.

83938122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 435 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 83938122 is about 9161.7750463543. The cubic root of 83938122 is about 437.8443495225.

The spelling of 83938122 in words is "eighty-three million, nine hundred thirty-eight thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 401 522 802 1203 2406 3609 7218 11629 23258 34887 69774 104661 160801 209322 321602 482403 964806 1447209 2894418 4663229 9326458 13989687 27979374 41969061 83938122