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85890096 = 24322325933
BaseRepresentation
bin1010001111010…
…01010000110000
312222121200001200
411013221100300
5133441440341
612304531200
72062024305
oct507512060
9188550050
1085890096
1144534556
1224920b00
1314a43356
14b59b0ac
157818db6
hex51e9430

85890096 has 60 divisors (see below), whose sum is σ = 250833648. Its totient is φ = 27384192.

The previous prime is 85890053. The next prime is 85890109. The reversal of 85890096 is 69009858.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9655 + ... + 16278.

Almost surely, 285890096 is an apocalyptic number.

It is an amenable number.

85890096 is an abundant number, since it is smaller than the sum of its proper divisors (164943552).

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

85890096 is a wasteful number, since it uses less digits than its factorization.

85890096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25970 (or 25961 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 85890096 is about 9267.6909745632. The cubic root of 85890096 is about 441.2123863215.

The spelling of 85890096 in words is "eighty-five million, eight hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 25933 51866 77799 103732 155598 207464 233397 311196 414928 466794 596459 622392 933588 1192918 1244784 1789377 1867176 2385836 3578754 3734352 4771672 5368131 7157508 9543344 10736262 14315016 21472524 28630032 42945048 85890096