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85593606 = 23717313383
BaseRepresentation
bin1010001101000…
…00111000000110
312222001121100120
411012200320012
5133402443411
612254322410
72056351020
oct506407006
9188047316
1085593606
114435181a
12247b9406
131496b407
14b521010
1577ab106
hex51a0e06

85593606 has 64 divisors (see below), whose sum is σ = 208355328. Its totient is φ = 22883328.

The previous prime is 85593581. The next prime is 85593631. The reversal of 85593606 is 60639558.

It is an interprime number because it is at equal distance from previous prime (85593581) and next prime (85593631).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223291 + ... + 223673.

It is an arithmetic number, because the mean of its divisors is an integer number (3255552).

Almost surely, 285593606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85593606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104177664).

85593606 is an abundant number, since it is smaller than the sum of its proper divisors (122761722).

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

85593606 is a wasteful number, since it uses less digits than its factorization.

85593606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725.

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 85593606 is about 9251.6812526157. The cubic root of 85593606 is about 440.7041171145.

The spelling of 85593606 in words is "eighty-five million, five hundred ninety-three thousand, six hundred six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 313 357 383 626 714 766 939 1149 1878 2191 2298 2681 4382 5321 5362 6511 6573 8043 10642 13022 13146 15963 16086 19533 31926 37247 39066 45577 74494 91154 111741 119879 136731 223482 239758 273462 359637 719274 839153 1678306 2037943 2517459 4075886 5034918 6113829 12227658 14265601 28531202 42796803 85593606