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85022448 = 2437237977
BaseRepresentation
bin1010001000101…
…01011011110000
312220222120212120
411010111123300
5133231204243
612234154240
72051451600
oct504253360
9186876776
1085022448
1143aa1695
1224582980
13147cb454
14b412c00
1576e6c83
hex51156f0

85022448 has 120 divisors (see below), whose sum is σ = 262675152. Its totient is φ = 23611392.

The previous prime is 85022387. The next prime is 85022449. The reversal of 85022448 is 84422058.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85022449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86536 + ... + 87512.

Almost surely, 285022448 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 85022448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131337576).

85022448 is an abundant number, since it is smaller than the sum of its proper divisors (177652704).

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

85022448 is a wasteful number, since it uses less digits than its factorization.

85022448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 85022448 is about 9220.7617906548. The cubic root of 85022448 is about 439.7216697041.

The spelling of 85022448 in words is "eighty-five million, twenty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 49 56 74 84 98 111 112 147 148 168 196 222 259 294 296 336 392 444 518 588 592 777 784 888 977 1036 1176 1554 1776 1813 1954 2072 2352 2931 3108 3626 3908 4144 5439 5862 6216 6839 7252 7816 10878 11724 12432 13678 14504 15632 20517 21756 23448 27356 29008 36149 41034 43512 46896 47873 54712 72298 82068 87024 95746 108447 109424 143619 144596 164136 191492 216894 253043 287238 289192 328272 382984 433788 506086 574476 578384 759129 765968 867576 1012172 1148952 1518258 1735152 1771301 2024344 2297904 3036516 3542602 4048688 5313903 6073032 7085204 10627806 12146064 14170408 21255612 28340816 42511224 85022448