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85835776 = 21413231
BaseRepresentation
bin1010001110111…
…00000000000000
312222111220112211
411013130000000
5133433221101
612303431504
72061410035
oct507340000
9188456484
1085835776
11444a7764
12248b5594
1314a24700
14b58538c
157807c51
hex51dc000

85835776 has 90 divisors (see below), whose sum is σ = 191883552. Its totient is φ = 38338560.

The previous prime is 85835753. The next prime is 85835797. The reversal of 85835776 is 67753858.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2768881 + ... + 2768911.

Almost surely, 285835776 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 85835776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95941776).

85835776 is an abundant number, since it is smaller than the sum of its proper divisors (106047776).

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

85835776 is an equidigital number, since it uses as much as digits as its factorization.

85835776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 49.

The square root of 85835776 is about 9264.7598997492. The cubic root of 85835776 is about 441.1193538216.

The spelling of 85835776 in words is "eighty-five million, eight hundred thirty-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 169 208 248 256 338 403 416 496 512 676 806 832 992 1024 1352 1612 1664 1984 2048 2704 3224 3328 3968 4096 5239 5408 6448 6656 7936 8192 10478 10816 12896 13312 15872 16384 20956 21632 25792 26624 31744 41912 43264 51584 53248 63488 83824 86528 103168 106496 126976 167648 173056 206336 212992 253952 335296 346112 412672 507904 670592 692224 825344 1341184 1384448 1650688 2682368 2768896 3301376 5364736 6602752 10729472 21458944 42917888 85835776