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85225448 = 23711314463
BaseRepresentation
bin1010001010001…
…10111111101000
312221100220100002
411011012333220
5133304203243
612242402132
72053255460
oct505067750
9187326302
1085225448
1144120160
1224660348
131486c979
14b466ba0
157736eb8
hex5146fe8

85225448 has 64 divisors (see below), whose sum is σ = 205701120. Its totient is φ = 32126400.

The previous prime is 85225447. The next prime is 85225453. The reversal of 85225448 is 84452258.

It is not an unprimeable number, because it can be changed into a prime (85225447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16865 + ... + 21327.

It is an arithmetic number, because the mean of its divisors is an integer number (3214080).

Almost surely, 285225448 is an apocalyptic number.

85225448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85225448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102850560).

85225448 is an abundant number, since it is smaller than the sum of its proper divisors (120475672).

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

85225448 is a wasteful number, since it uses less digits than its factorization.

85225448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4518 (or 4514 counting only the distinct ones).

The product of its digits is 102400, while the sum is 38.

The square root of 85225448 is about 9231.7629952247. The cubic root of 85225448 is about 440.0713520650.

The spelling of 85225448 in words is "eighty-five million, two hundred twenty-five thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 868 1364 1736 2387 2728 4463 4774 8926 9548 17852 19096 31241 35704 49093 62482 98186 124964 138353 196372 249928 276706 343651 392744 553412 687302 968471 1106824 1374604 1521883 1936942 2749208 3043766 3873884 6087532 7747768 10653181 12175064 21306362 42612724 85225448