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85344798 = 237113159101
BaseRepresentation
bin1010001011001…
…00001000011110
312221120222001110
411011210020132
5133322013143
612245122450
72054263440
oct505441036
9187528043
1085344798
11441a18a0
12246b9426
13148b20a6
14b498490
15775c533
hex516421e

85344798 has 128 divisors (see below), whose sum is σ = 225607680. Its totient is φ = 20880000.

The previous prime is 85344781. The next prime is 85344841. The reversal of 85344798 is 89744358.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 844948 + ... + 845048.

It is an arithmetic number, because the mean of its divisors is an integer number (1762560).

Almost surely, 285344798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85344798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112803840).

85344798 is an abundant number, since it is smaller than the sum of its proper divisors (140262882).

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

85344798 is a wasteful number, since it uses less digits than its factorization.

85344798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214.

The product of its digits is 967680, while the sum is 48.

The square root of 85344798 is about 9238.2248294789. The cubic root of 85344798 is about 440.2766820402.

The spelling of 85344798 in words is "eighty-five million, three hundred forty-four thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 59 62 66 77 93 101 118 154 177 186 202 217 231 303 341 354 413 434 462 606 649 651 682 707 826 1023 1111 1239 1298 1302 1414 1829 1947 2046 2121 2222 2387 2478 3131 3333 3658 3894 4242 4543 4774 5487 5959 6262 6666 7161 7777 9086 9393 10974 11918 12803 13629 14322 15554 17877 18786 20119 21917 23331 25606 27258 34441 35754 38409 40238 41713 43834 46662 60357 65549 65751 68882 76818 83426 103323 120714 125139 131098 131502 140833 184729 196647 206646 241087 250278 281666 369458 393294 422499 458843 482174 554187 723261 844998 917686 1108374 1293103 1376529 1446522 2032019 2586206 2753058 3879309 4064038 6096057 7758618 12192114 14224133 28448266 42672399 85344798