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85590232 = 23713891321
BaseRepresentation
bin1010001101000…
…00000011011000
312222001102201121
411012200003120
5133402341412
612254255024
72056335130
oct506400330
9188042647
1085590232
114434a232
12247b7474
1314969a10
14b51dac0
1577aa107
hex51a00d8

85590232 has 64 divisors (see below), whose sum is σ = 199886400. Its totient is φ = 33454080.

The previous prime is 85590229. The next prime is 85590293. The reversal of 85590232 is 23209558.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64132 + ... + 65452.

It is an arithmetic number, because the mean of its divisors is an integer number (3123225).

Almost surely, 285590232 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 85590232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99943200).

85590232 is an abundant number, since it is smaller than the sum of its proper divisors (114296168).

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

85590232 is a wasteful number, since it uses less digits than its factorization.

85590232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 85590232 is about 9251.4989055828. The cubic root of 85590232 is about 440.6983263579.

The spelling of 85590232 in words is "eighty-five million, five hundred ninety thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 89 91 104 178 182 356 364 623 712 728 1157 1246 1321 2314 2492 2642 4628 4984 5284 8099 9247 9256 10568 16198 17173 18494 32396 34346 36988 64792 68692 73976 117569 120211 137384 235138 240422 470276 480844 822983 940552 961688 1528397 1645966 3056794 3291932 6113588 6583864 10698779 12227176 21397558 42795116 85590232