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83984224 = 2523532153
BaseRepresentation
bin1010000000101…
…11111101100000
312212000211200211
411000113331200
5132444443344
612200023504
72036565652
oct500277540
9185024624
1083984224
1143452655
1224161b94
1314526a0c
14b2226d2
15758e334
hex5017f60

83984224 has 48 divisors (see below), whose sum is σ = 175869792. Its totient is φ = 39390208.

The previous prime is 83984213. The next prime is 83984269. The reversal of 83984224 is 42248938.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37932 + ... + 40084.

It is an arithmetic number, because the mean of its divisors is an integer number (3663954).

Almost surely, 283984224 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 83984224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87934896).

83984224 is an abundant number, since it is smaller than the sum of its proper divisors (91885568).

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

83984224 is a wasteful number, since it uses less digits than its factorization.

83984224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2231 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The square root of 83984224 is about 9164.2906981392. The cubic root of 83984224 is about 437.9244950921.

The spelling of 83984224 in words is "eighty-three million, nine hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 184 212 368 424 736 848 1219 1696 2153 2438 4306 4876 8612 9752 17224 19504 34448 39008 49519 68896 99038 114109 198076 228218 396152 456436 792304 912872 1584608 1825744 2624507 3651488 5249014 10498028 20996056 41992112 83984224