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8296780928 = 27832972
BaseRepresentation
bin1111011101000011…
…01101010010000000
3210102012212010210112
413232201231102000
5113442433442203
63451140450452
7412413321452
oct75641552200
923365763715
108296780928
113578353347
1217366a9a28
13a22b84937
14589c802d2
153385c06d8
hex1ee86d480

8296780928 has 72 divisors (see below), whose sum is σ = 16904539305. Its totient is φ = 4056158208.

The previous prime is 8296780927. The next prime is 8296780937. The reversal of 8296780928 is 8290876928.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8275177024 + 21603904 = 90968^2 + 4648^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=64408.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8296780927) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85533776 + ... + 85533872.

Almost surely, 28296780928 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 8296780928

8296780928 is an abundant number, since it is smaller than the sum of its proper divisors (8607758377).

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

8296780928 is an frugal number, since it uses more digits than its factorization.

8296780928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 59.

The square root of 8296780928 is about 91086.6671253263. The cubic root of 8296780928 is about 2024.4320657376.

The spelling of 8296780928 in words is "eight billion, two hundred ninety-six million, seven hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 83 97 128 166 194 332 388 664 776 1328 1552 2656 3104 5312 6208 6889 8051 9409 10624 12416 13778 16102 18818 27556 32204 37636 55112 64408 75272 110224 128816 150544 220448 257632 301088 440896 515264 602176 668233 780947 881792 1030528 1204352 1336466 1561894 2672932 3123788 5345864 6247576 10691728 12495152 21383456 24990304 42766912 49980608 64818601 85533824 99961216 129637202 259274404 518548808 1037097616 2074195232 4148390464 8296780928