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8255424 = 263193173
BaseRepresentation
bin11111011111011111000000
3120112102022110
4133133133000
54103133144
6452535320
7130112202
oct37373700
916472273
108255424
114729471
122921540
131930788
14114c772
15ad10b9
hex7df7c0

8255424 has 112 divisors (see below), whose sum is σ = 24058880. Its totient is φ = 2488320.

The previous prime is 8255419. The next prime is 8255447. The reversal of 8255424 is 4245528.

Its product of digits (12800) is a multiple of the sum of its prime divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 8255391 and 8255400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113052 + ... + 113124.

Almost surely, 28255424 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 8255424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029440).

8255424 is an abundant number, since it is smaller than the sum of its proper divisors (15803456).

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

8255424 is a wasteful number, since it uses less digits than its factorization.

8255424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 8255424 is about 2873.2253653342. The cubic root of 8255424 is about 202.1062735238.

The spelling of 8255424 in words is "eight million, two hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 73 76 93 96 114 124 146 152 186 192 219 228 248 292 304 372 438 456 496 584 589 608 744 876 912 992 1168 1178 1216 1387 1488 1752 1767 1824 1984 2263 2336 2356 2774 2976 3504 3534 3648 4161 4526 4672 4712 5548 5952 6789 7008 7068 8322 9052 9424 11096 13578 14016 14136 16644 18104 18848 22192 27156 28272 33288 36208 37696 42997 44384 54312 56544 66576 72416 85994 88768 108624 113088 128991 133152 144832 171988 217248 257982 266304 343976 434496 515964 687952 1031928 1375904 2063856 2751808 4127712 8255424