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85942296 = 2335114019
BaseRepresentation
bin1010001111101…
…10000000011000
312222201022200000
411013312000120
5134000123141
612310013000
72062332426
oct507660030
9188638600
1085942296
114456a7a0
1224947160
1314a6103b
14b5b2116
1578295b6
hex51f6018

85942296 has 96 divisors (see below), whose sum is σ = 263390400. Its totient is φ = 26036640.

The previous prime is 85942277. The next prime is 85942303. The reversal of 85942296 is 69224958.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19375 + ... + 23393.

It is an arithmetic number, because the mean of its divisors is an integer number (2743650).

Almost surely, 285942296 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 85942296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131695200).

85942296 is an abundant number, since it is smaller than the sum of its proper divisors (177448104).

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

85942296 is a wasteful number, since it uses less digits than its factorization.

85942296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4035 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 85942296 is about 9270.5067822638. The cubic root of 85942296 is about 441.3017509997.

The spelling of 85942296 in words is "eighty-five million, nine hundred forty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1782 1944 2376 2673 3564 4019 5346 7128 8038 10692 12057 16076 21384 24114 32152 36171 44209 48228 72342 88418 96456 108513 132627 144684 176836 217026 265254 289368 325539 353672 397881 434052 530508 651078 795762 868104 976617 1061016 1193643 1302156 1591524 1953234 2387286 2604312 3183048 3580929 3906468 4774572 7161858 7812936 9549144 10742787 14323716 21485574 28647432 42971148 85942296