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85490448 = 24323211367
BaseRepresentation
bin1010001100001…
…11101100010000
312221212100211220
411012013230100
5133341143243
612252205040
72055441201
oct506075420
9187770756
1085490448
114429126a
1224769780
1314933484
14b4d55a8
15778a783
hex5187b10

85490448 has 80 divisors (see below), whose sum is σ = 232175616. Its totient is φ = 27054720.

The previous prime is 85490441. The next prime is 85490477. The reversal of 85490448 is 84409458.

It is not an unprimeable number, because it can be changed into a prime (85490441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232761 + ... + 233127.

Almost surely, 285490448 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 85490448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116087808).

85490448 is an abundant number, since it is smaller than the sum of its proper divisors (146685168).

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

85490448 is a wasteful number, since it uses less digits than its factorization.

85490448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 85490448 is about 9246.1044770217. The cubic root of 85490448 is about 440.5269994012.

The spelling of 85490448 in words is "eighty-five million, four hundred ninety thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 211 276 367 368 422 552 633 734 844 1101 1104 1266 1468 1688 2202 2532 2936 3376 4404 4853 5064 5872 8441 8808 9706 10128 14559 16882 17616 19412 25323 29118 33764 38824 50646 58236 67528 77437 77648 101292 116472 135056 154874 202584 232311 232944 309748 405168 464622 619496 929244 1238992 1781051 1858488 3562102 3716976 5343153 7124204 10686306 14248408 21372612 28496816 42745224 85490448