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8238816 = 253228607
BaseRepresentation
bin11111011011011011100000
3120111120112100
4133123123200
54102120231
6452330400
7130012605
oct37333340
916446470
108238816
114717a43
122913a00
131926051
1411466ac
15acb1e6
hex7db6e0

8238816 has 36 divisors (see below), whose sum is σ = 23429952. Its totient is φ = 2746176.

The previous prime is 8238809. The next prime is 8238817. The reversal of 8238816 is 6188328.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8238817) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14016 + ... + 14591.

It is an arithmetic number, because the mean of its divisors is an integer number (650832).

Almost surely, 28238816 is an apocalyptic number.

It is an amenable number.

8238816 is an abundant number, since it is smaller than the sum of its proper divisors (15191136).

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

8238816 is a wasteful number, since it uses less digits than its factorization.

8238816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28623 (or 28612 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8238816 is about 2870.3337785003. Note that the first 3 decimals coincide. The cubic root of 8238816 is about 201.9706522080.

The spelling of 8238816 in words is "eight million, two hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 28607 57214 85821 114428 171642 228856 257463 343284 457712 514926 686568 915424 1029852 1373136 2059704 2746272 4119408 8238816