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85894640 = 2451382591
BaseRepresentation
bin1010001111010…
…10010111110000
312222121220021222
411013222113300
5133442112030
612305004212
72062043456
oct507522760
9188556258
1085894640
1144537a07
1224923668
1314a45440
14b59c9d6
15781a3e5
hex51ea5f0

85894640 has 40 divisors (see below), whose sum is σ = 215069568. Its totient is φ = 31714560.

The previous prime is 85894639. The next prime is 85894651. The reversal of 85894640 is 4649858.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 85894591 and 85894600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40256 + ... + 42335.

Almost surely, 285894640 is an apocalyptic number.

85894640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85894640 is an abundant number, since it is smaller than the sum of its proper divisors (129174928).

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

85894640 is a wasteful number, since it uses less digits than its factorization.

85894640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82617 (or 82611 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 85894640 is about 9267.9361240785. The cubic root of 85894640 is about 441.2201669382.

The spelling of 85894640 in words is "eighty-five million, eight hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 82591 165182 330364 412955 660728 825910 1073683 1321456 1651820 2147366 3303640 4294732 5368415 6607280 8589464 10736830 17178928 21473660 42947320 85894640