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8230976 = 26132761
BaseRepresentation
bin11111011001100001000000
3120111011202222
4133121201000
54101342401
6452230212
7126651005
oct37314100
916434688
108230976
114712066
12290b368
131922600
1411438ac
15ac8c1b
hex7d9840

8230976 has 42 divisors (see below), whose sum is σ = 17709642. Its totient is φ = 3793920.

The previous prime is 8230973. The next prime is 8230979. The reversal of 8230976 is 6790328.

It is an interprime number because it is at equal distance from previous prime (8230973) and next prime (8230979).

It can be written as a sum of positive squares in 3 ways, for example, as 1048576 + 7182400 = 1024^2 + 2680^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8230973) 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, 10436 + ... + 11196.

Almost surely, 28230976 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 8230976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8854821).

8230976 is an abundant number, since it is smaller than the sum of its proper divisors (9478666).

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

8230976 is a wasteful number, since it uses less digits than its factorization.

8230976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 8230976 is about 2868.9677586198. The cubic root of 8230976 is about 201.9065672535.

The spelling of 8230976 in words is "eight million, two hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 761 832 1352 1522 2704 3044 5408 6088 9893 10816 12176 19786 24352 39572 48704 79144 128609 158288 257218 316576 514436 633152 1028872 2057744 4115488 8230976