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8225064 = 23354231
BaseRepresentation
bin11111011000000100101000
3120110212200000
4133120010220
54101200224
6452143000
7126624531
oct37300450
916425600
108225064
114708681
122907a60
13191ca03
141141688
15ac70c9
hex7d8128

8225064 has 48 divisors (see below), whose sum is σ = 23106720. Its totient is φ = 2741040.

The previous prime is 8225039. The next prime is 8225101. The reversal of 8225064 is 4605228.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172 + ... + 4059.

It is an arithmetic number, because the mean of its divisors is an integer number (481390).

Almost surely, 28225064 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 8225064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11553360).

8225064 is an abundant number, since it is smaller than the sum of its proper divisors (14881656).

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

8225064 is a wasteful number, since it uses less digits than its factorization.

8225064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8225064 is about 2867.9372378070. The cubic root of 8225064 is about 201.8582150479.

It can be divided in two parts, 822 and 5064, that added together give a triangular number (5886 = T108).

The spelling of 8225064 in words is "eight million, two hundred twenty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 4231 8462 12693 16924 25386 33848 38079 50772 76158 101544 114237 152316 228474 304632 342711 456948 685422 913896 1028133 1370844 2056266 2741688 4112532 8225064