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94208 = 21223
BaseRepresentation
bin10111000000000000
311210020012
4113000000
511003313
62004052
7541442
oct270000
9153205
1094208
1164864
1246628
1333b5a
1426492
151cda8
hex17000

94208 has 26 divisors (see below), whose sum is σ = 196584. Its totient is φ = 45056.

The previous prime is 94207. The next prime is 94219. The reversal of 94208 is 80249.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4085 + ... + 4107.

294208 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 94208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98292).

94208 is an abundant number, since it is smaller than the sum of its proper divisors (102376).

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

94208 is an equidigital number, since it uses as much as digits as its factorization.

94208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 94208 is about 306.9332174920. The cubic root of 94208 is about 45.5018716776.

Multiplying 94208 by its sum of digits (23), we get a square (2166784 = 14722).

94208 divided by its sum of digits (23) gives a 12-th power (4096 = 212).

The spelling of 94208 in words is "ninety-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1472 2048 2944 4096 5888 11776 23552 47104 94208