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83470208 = 27679733
BaseRepresentation
bin1001111100110…
…10011110000000
312211001201121012
410332122132000
5132332021313
612141020052
72032325243
oct476323600
9184051535
1083470208
1143131448
1223b54628
13143a6a73
14b12b25a
1574dbda8
hex4f9a780

83470208 has 32 divisors (see below), whose sum is σ = 168787560. Its totient is φ = 41107968.

The previous prime is 83470201. The next prime is 83470213. The reversal of 83470208 is 80207438.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83470201) 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 3 ways as a sum of consecutive naturals, for example, 3710 + ... + 13442.

Almost surely, 283470208 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 83470208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84393780).

83470208 is an abundant number, since it is smaller than the sum of its proper divisors (85317352).

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

83470208 is an equidigital number, since it uses as much as digits as its factorization.

83470208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9814 (or 9802 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 83470208 is about 9136.2031501056. The cubic root of 83470208 is about 437.0292436274.

The spelling of 83470208 in words is "eighty-three million, four hundred seventy thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1072 2144 4288 8576 9733 19466 38932 77864 155728 311456 622912 652111 1245824 1304222 2608444 5216888 10433776 20867552 41735104 83470208