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83292381 = 353111057
BaseRepresentation
bin1001111011011…
…11000011011101
312210201200200000
410331233003131
5132310324011
612133124513
72030654634
oct475570335
9183650600
1083292381
114301a887
1223a89739
1314343b43
14b0c251b
1574a4356
hex4f6f0dd

83292381 has 24 divisors (see below), whose sum is σ = 128803584. Its totient is φ = 53732160.

The previous prime is 83292373. The next prime is 83292403. The reversal of 83292381 is 18329238.

It is a happy number.

It is not a de Polignac number, because 83292381 - 23 = 83292373 is a prime.

It is a super-2 number, since 2×832923812 = 13875241465298322, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83292281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2005 + ... + 13061.

It is an arithmetic number, because the mean of its divisors is an integer number (5366816).

Almost surely, 283292381 is an apocalyptic number.

83292381 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

83292381 is a deficient number, since it is larger than the sum of its proper divisors (45511203).

83292381 is a wasteful number, since it uses less digits than its factorization.

83292381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11103 (or 11091 counting only the distinct ones).

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

The square root of 83292381 is about 9126.4659644355. The cubic root of 83292381 is about 436.7186703276.

The spelling of 83292381 in words is "eighty-three million, two hundred ninety-two thousand, three hundred eighty-one".

Divisors: 1 3 9 27 31 81 93 243 279 837 2511 7533 11057 33171 99513 298539 342767 895617 1028301 2686851 3084903 9254709 27764127 83292381