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83706496 = 27837879
BaseRepresentation
bin1001111110101…
…00001010000000
312211111201201121
410333110022000
5132412101441
612150042024
72034331156
oct477241200
9184451647
1083706496
1143282a25
1224049314
131445a493
14b18d3d6
157536dd1
hex4fd4280

83706496 has 32 divisors (see below), whose sum is σ = 168789600. Its totient is φ = 41343744.

The previous prime is 83706473. The next prime is 83706503. The reversal of 83706496 is 69460738.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6685 + ... + 14563.

It is an arithmetic number, because the mean of its divisors is an integer number (5274675).

Almost surely, 283706496 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 83706496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84394800).

83706496 is an abundant number, since it is smaller than the sum of its proper divisors (85083104).

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

83706496 is an equidigital number, since it uses as much as digits as its factorization.

83706496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7976 (or 7964 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 83706496 is about 9149.1254226839. The cubic root of 83706496 is about 437.4412368422.

The spelling of 83706496 in words is "eighty-three million, seven hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 664 1328 2656 5312 7879 10624 15758 31516 63032 126064 252128 504256 653957 1008512 1307914 2615828 5231656 10463312 20926624 41853248 83706496