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85812048 = 243671051
BaseRepresentation
bin1010001110101…
…10001101010000
312222110201000000
411013112031100
5133431441143
612303130000
72061250620
oct507261520
9188421000
1085812048
1144490953
12248a3900
1314a1697a
14b57a880
157800bd3
hex51d6350

85812048 has 140 divisors (see below), whose sum is σ = 285159328. Its totient is φ = 24494400.

The previous prime is 85812029. The next prime is 85812071. The reversal of 85812048 is 84021858.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 81123 + ... + 82173.

Almost surely, 285812048 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 85812048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142579664).

85812048 is an abundant number, since it is smaller than the sum of its proper divisors (199347280).

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

85812048 is a wasteful number, since it uses less digits than its factorization.

85812048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 85812048 is about 9263.4792599757. The cubic root of 85812048 is about 441.0787031546.

The spelling of 85812048 in words is "eighty-five million, eight hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1051 1134 1296 1458 1512 1701 1944 2102 2268 2916 3024 3153 3402 3888 4204 4536 5103 5832 6306 6804 7357 8408 9072 9459 10206 11664 12612 13608 14714 16816 18918 20412 22071 25224 27216 28377 29428 37836 40824 44142 50448 56754 58856 66213 75672 81648 85131 88284 113508 117712 132426 151344 170262 176568 198639 227016 255393 264852 340524 353136 397278 454032 510786 529704 595917 681048 766179 794556 1021572 1059408 1191834 1362096 1532358 1589112 1787751 2043144 2383668 3064716 3178224 3575502 4086288 4767336 5363253 6129432 7151004 9534672 10726506 12258864 14302008 21453012 28604016 42906024 85812048