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8425664 = 261321941
BaseRepresentation
bin100000001001…
…000011000000
3120212001211122
4200021003000
54124110124
6500331412
7131421422
oct40110300
916761748
108425664
114835365
1229a3b68
131990100
141194812
15b1675e
hex8090c0

8425664 has 84 divisors (see below), whose sum is σ = 19522440. Its totient is φ = 3594240.

The previous prime is 8425663. The next prime is 8425667. The reversal of 8425664 is 4665248.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8425663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205484 + ... + 205524.

It is an arithmetic number, because the mean of its divisors is an integer number (232410).

Almost surely, 28425664 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 8425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9761220).

8425664 is an abundant number, since it is smaller than the sum of its proper divisors (11096776).

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

8425664 is a wasteful number, since it uses less digits than its factorization.

8425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 75 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 8425664 is about 2902.6994332862. The cubic root of 8425664 is about 203.4860830774.

The spelling of 8425664 in words is "eight million, four hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 41 52 64 76 82 104 152 164 169 208 247 304 328 338 416 494 533 608 656 676 779 832 988 1066 1216 1312 1352 1558 1976 2132 2624 2704 3116 3211 3952 4264 5408 6232 6422 6929 7904 8528 10127 10816 12464 12844 13858 15808 17056 20254 24928 25688 27716 34112 40508 49856 51376 55432 81016 102752 110864 131651 162032 205504 221728 263302 324064 443456 526604 648128 1053208 2106416 4212832 8425664