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85751298 = 2351797107
BaseRepresentation
bin1010001110001…
…11011000000010
312222100121200000
411013013120002
5133423020143
612301540430
72060605533
oct507073002
9188317600
1085751298
114444a246
1224874716
13149c5119
14b56268a
1577dcbd3
hex51c7602

85751298 has 96 divisors (see below), whose sum is σ = 208039104. Its totient is φ = 26376192.

The previous prime is 85751287. The next prime is 85751339. The reversal of 85751298 is 89215758.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 801361 + ... + 801467.

It is an arithmetic number, because the mean of its divisors is an integer number (2167074).

Almost surely, 285751298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85751298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104019552).

85751298 is an abundant number, since it is smaller than the sum of its proper divisors (122287806).

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

85751298 is a wasteful number, since it uses less digits than its factorization.

85751298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 85751298 is about 9260.1996738731. The cubic root of 85751298 is about 440.9745924554.

The spelling of 85751298 in words is "eighty-five million, seven hundred fifty-one thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 97 102 107 153 162 194 214 243 291 306 321 459 486 582 642 873 918 963 1377 1649 1746 1819 1926 2619 2754 2889 3298 3638 4131 4947 5238 5457 5778 7857 8262 8667 9894 10379 10914 14841 15714 16371 17334 20758 23571 26001 29682 31137 32742 44523 47142 49113 52002 62274 89046 93411 98226 133569 147339 176443 186822 267138 280233 294678 352886 400707 442017 529329 560466 801414 840699 884034 1058658 1587987 1681398 2522097 3175974 4763961 5044194 9527922 14291883 28583766 42875649 85751298