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85882440 = 23357102241
BaseRepresentation
bin1010001111001…
…11011001001000
312222121021120010
411013213121020
5133441214230
612304431520
72061663060
oct507473110
9188537503
1085882440
1144529826
12249185a0
1314a3ca17
14b5983a0
1578169b0
hex51e7648

85882440 has 64 divisors (see below), whose sum is σ = 294456960. Its totient is φ = 19630080.

The previous prime is 85882417. The next prime is 85882441. The reversal of 85882440 is 4428858.

It is not an unprimeable number, because it can be changed into a prime (85882441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50281 + ... + 51960.

It is an arithmetic number, because the mean of its divisors is an integer number (4600890).

Almost surely, 285882440 is an apocalyptic number.

It is an amenable number.

85882440 is an abundant number, since it is smaller than the sum of its proper divisors (208574520).

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

85882440 is a wasteful number, since it uses less digits than its factorization.

85882440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102262 (or 102258 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 85882440 is about 9267.2779174901. The cubic root of 85882440 is about 441.1992764577.

The spelling of 85882440 in words is "eighty-five million, eight hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 102241 204482 306723 408964 511205 613446 715687 817928 1022410 1226892 1431374 1533615 2044820 2147061 2453784 2862748 3067230 3578435 4089640 4294122 5725496 6134460 7156870 8588244 10735305 12268920 14313740 17176488 21470610 28627480 42941220 85882440