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85998288 = 24323611277
BaseRepresentation
bin1010010000000…
…11101011010000
312222211011110210
411020003223100
5134003421123
612311124120
72062654605
oct510035320
9188734423
1085998288
11445a8872
1224973640
1314a8067c
14b5c86ac
15783ae93
hex5203ad0

85998288 has 80 divisors (see below), whose sum is σ = 235806336. Its totient is φ = 26949120.

The previous prime is 85998287. The next prime is 85998299. The reversal of 85998288 is 88289958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85998287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66706 + ... + 67982.

Almost surely, 285998288 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 85998288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117903168).

85998288 is an abundant number, since it is smaller than the sum of its proper divisors (149808048).

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

85998288 is a wasteful number, since it uses less digits than its factorization.

85998288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1366 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 57.

The square root of 85998288 is about 9273.5261901825. The cubic root of 85998288 is about 441.3975672416.

The spelling of 85998288 in words is "eighty-five million, nine hundred ninety-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 61 69 92 122 138 183 184 244 276 366 368 488 552 732 976 1104 1277 1403 1464 2554 2806 2928 3831 4209 5108 5612 7662 8418 10216 11224 15324 16836 20432 22448 29371 30648 33672 58742 61296 67344 77897 88113 117484 155794 176226 233691 234968 311588 352452 467382 469936 623176 704904 934764 1246352 1409808 1791631 1869528 3583262 3739056 5374893 7166524 10749786 14333048 21499572 28666096 42999144 85998288