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83858496 = 2631094007
BaseRepresentation
bin1001111111110…
…01010001000000
312211210110020020
410333321101000
5132431432441
612153213440
72035533261
oct477712100
9184713206
1083858496
1143377147
1224101280
13144b1717
14b1cc968
157566e66
hex4ff9440

83858496 has 56 divisors (see below), whose sum is σ = 223967040. Its totient is φ = 27689472.

The previous prime is 83858491. The next prime is 83858563. The reversal of 83858496 is 69485838.

It is not an unprimeable number, because it can be changed into a prime (83858491) 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 7 ways as a sum of consecutive naturals, for example, 18925 + ... + 22931.

Almost surely, 283858496 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 83858496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111983520).

83858496 is an abundant number, since it is smaller than the sum of its proper divisors (140108544).

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

83858496 is a wasteful number, since it uses less digits than its factorization.

83858496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4121 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 83858496 is about 9157.4284599990. The cubic root of 83858496 is about 437.7058553421.

The spelling of 83858496 in words is "eighty-three million, eight hundred fifty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 327 436 654 872 1308 1744 2616 3488 4007 5232 6976 8014 10464 12021 16028 20928 24042 32056 48084 64112 96168 128224 192336 256448 384672 436763 769344 873526 1310289 1747052 2620578 3494104 5241156 6988208 10482312 13976416 20964624 27952832 41929248 83858496