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8661408 = 253712889
BaseRepresentation
bin100001000010…
…100110100000
3121022001012220
4201002212200
54204131113
6505351040
7133422630
oct41024640
917261186
108661408
114986498
122a98480
131a434c2
1412166c0
15b61523
hex8429a0

8661408 has 48 divisors (see below), whose sum is σ = 25986240. Its totient is φ = 2474496.

The previous prime is 8661407. The next prime is 8661413. The reversal of 8661408 is 8041668.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (8661407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5773 + ... + 7116.

It is an arithmetic number, because the mean of its divisors is an integer number (541380).

Almost surely, 28661408 is an apocalyptic number.

It is an amenable number.

8661408 is an abundant number, since it is smaller than the sum of its proper divisors (17324832).

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

8661408 is a wasteful number, since it uses less digits than its factorization.

8661408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12909 (or 12901 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8661408 is about 2943.0270131278. The cubic root of 8661408 is about 205.3664514337.

The spelling of 8661408 in words is "eight million, six hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 12889 25778 38667 51556 77334 90223 103112 154668 180446 206224 270669 309336 360892 412448 541338 618672 721784 1082676 1237344 1443568 2165352 2887136 4330704 8661408