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8290016 = 257217311
BaseRepresentation
bin11111100111111011100000
3120121011202122
4133213323200
54110240031
6453403412
7130315100
oct37477340
916534678
108290016
114752459
122939568
131943447
14115b200
15adb47b
hex7e7ee0

8290016 has 72 divisors (see below), whose sum is σ = 20167056. Its totient is φ = 3333120.

The previous prime is 8289997. The next prime is 8290043. The reversal of 8290016 is 6100928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26501 + ... + 26811.

It is an arithmetic number, because the mean of its divisors is an integer number (280098).

Almost surely, 28290016 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 8290016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10083528).

8290016 is an abundant number, since it is smaller than the sum of its proper divisors (11877040).

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

8290016 is a wasteful number, since it uses less digits than its factorization.

8290016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 8290016 is about 2879.2387882911. The cubic root of 8290016 is about 202.3881697221.

The spelling of 8290016 in words is "eight million, two hundred ninety thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 311 392 476 544 622 784 833 952 1244 1568 1666 1904 2177 2488 3332 3808 4354 4976 5287 6664 8708 9952 10574 13328 15239 17416 21148 26656 30478 34832 37009 42296 60956 69664 74018 84592 121912 148036 169184 243824 259063 296072 487648 518126 592144 1036252 1184288 2072504 4145008 8290016