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8216064 = 29321783
BaseRepresentation
bin11111010101111000000000
3120110102022200
4133111320000
54100403224
6452033200
7126556353
oct37257000
916412280
108216064
11470193a
122902800
13191889c
14113c29a
15ac45c9
hex7d5e00

8216064 has 60 divisors (see below), whose sum is σ = 23725416. Its totient is φ = 2737152.

The previous prime is 8216063. The next prime is 8216099. The reversal of 8216064 is 4606128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8216063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3717 + ... + 5499.

Almost surely, 28216064 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 8216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11862708).

8216064 is an abundant number, since it is smaller than the sum of its proper divisors (15509352).

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

8216064 is a wasteful number, since it uses less digits than its factorization.

8216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8216064 is about 2866.3677363521. The cubic root of 8216064 is about 201.7845626537.

The spelling of 8216064 in words is "eight million, two hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 1783 2304 3566 4608 5349 7132 10698 14264 16047 21396 28528 32094 42792 57056 64188 85584 114112 128376 171168 228224 256752 342336 456448 513504 684672 912896 1027008 1369344 2054016 2738688 4108032 8216064