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85333332 = 223719127421
BaseRepresentation
bin1010001011000…
…01010101010100
312221120101022210
411011201111110
5133321131312
612244553420
72054215140
oct505412524
9187511283
1085333332
1144194217
12246b2870
13148a9ac6
14b494220
157758e3c
hex5161554

85333332 has 96 divisors (see below), whose sum is σ = 241991680. Its totient is φ = 22861440.

The previous prime is 85333331. The next prime is 85333357. The reversal of 85333332 is 23333358.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 85333332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85333331) 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, 202482 + ... + 202902.

Almost surely, 285333332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85333332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120995840).

85333332 is an abundant number, since it is smaller than the sum of its proper divisors (156658348).

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

85333332 is a wasteful number, since it uses less digits than its factorization.

85333332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its digits is 19440, while the sum is 30.

The square root of 85333332 is about 9237.6042348652. The cubic root of 85333332 is about 440.2569642263.

The spelling of 85333332 in words is "eighty-five million, three hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 127 133 228 254 266 381 399 421 508 532 762 798 842 889 1263 1524 1596 1684 1778 2413 2526 2667 2947 3556 4826 5052 5334 5894 7239 7999 8841 9652 10668 11788 14478 15998 16891 17682 23997 28956 31996 33782 35364 47994 50673 53467 55993 67564 95988 101346 106934 111986 160401 167979 202692 213868 223972 320802 335958 374269 641604 671916 748538 1015873 1122807 1497076 2031746 2245614 3047619 4063492 4491228 6095238 7111111 12190476 14222222 21333333 28444444 42666666 85333332