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85881345 = 3511836271
BaseRepresentation
bin1010001111001…
…11001000000001
312222121020001120
411013213020001
5133441200340
612304422453
72061656634
oct507471001
9188536046
1085881345
1144528a20
1224917a29
1314a3c384
14b597c1b
1578164d0
hex51e7201

85881345 has 32 divisors (see below), whose sum is σ = 151732224. Its totient is φ = 41131200.

The previous prime is 85881343. The next prime is 85881353. The reversal of 85881345 is 54318858.

It is not a de Polignac number, because 85881345 - 21 = 85881343 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85881297 and 85881306.

It is not an unprimeable number, because it can be changed into a prime (85881343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10560 + ... + 16830.

It is an arithmetic number, because the mean of its divisors is an integer number (4741632).

Almost surely, 285881345 is an apocalyptic number.

It is an amenable number.

85881345 is a deficient number, since it is larger than the sum of its proper divisors (65850879).

85881345 is a wasteful number, since it uses less digits than its factorization.

85881345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373.

The product of its digits is 153600, while the sum is 42.

The square root of 85881345 is about 9267.2188384650. The cubic root of 85881345 is about 441.1974013547.

It can be divided in two parts, 858813 and 45, that added together give a palindrome (858858).

The spelling of 85881345 in words is "eighty-five million, eight hundred eighty-one thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 33 55 83 165 249 415 913 1245 2739 4565 6271 13695 18813 31355 68981 94065 206943 344905 520493 1034715 1561479 2602465 5725423 7807395 17176269 28627115 85881345