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85832240 = 2451382531
BaseRepresentation
bin1010001110110…
…11001000110000
312222111201200212
411013123020300
5133433112430
612303403252
72061363524
oct507331060
9188451625
1085832240
11444a503a
12248b3528
1314a22c10
14b583d84
157806b95
hex51db230

85832240 has 40 divisors (see below), whose sum is σ = 214913328. Its totient is φ = 31691520.

The previous prime is 85832239. The next prime is 85832261. The reversal of 85832240 is 4223858.

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 = 85832197 and 85832206.

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, 40226 + ... + 42305.

Almost surely, 285832240 is an apocalyptic number.

85832240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85832240 is an abundant number, since it is smaller than the sum of its proper divisors (129081088).

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

85832240 is a wasteful number, since it uses less digits than its factorization.

85832240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82557 (or 82551 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 85832240 is about 9264.5690671504. The cubic root of 85832240 is about 441.1132964427.

The spelling of 85832240 in words is "eighty-five million, eight hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 82531 165062 330124 412655 660248 825310 1072903 1320496 1650620 2145806 3301240 4291612 5364515 6602480 8583224 10729030 17166448 21458060 42916120 85832240