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85878336 = 2633471289
BaseRepresentation
bin1010001111001…
…10011001000000
312222121001221010
411013212121000
5133441101321
612304400520
72061645105
oct507463100
9188531833
1085878336
1144526735
1224916140
1314a3abab
14b596aac
157815676
hex51e6640

85878336 has 56 divisors (see below), whose sum is σ = 228051360. Its totient is φ = 28521472.

The previous prime is 85878323. The next prime is 85878337. The reversal of 85878336 is 63387858.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (85878337) 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 7 ways as a sum of consecutive naturals, for example, 65980 + ... + 67268.

Almost surely, 285878336 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 85878336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114025680).

85878336 is an abundant number, since it is smaller than the sum of its proper divisors (142173024).

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

85878336 is a wasteful number, since it uses less digits than its factorization.

85878336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1641 counting only the distinct ones).

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

The square root of 85878336 is about 9267.0564906015. The cubic root of 85878336 is about 441.1922485923.

The spelling of 85878336 in words is "eighty-five million, eight hundred seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 347 694 1041 1289 1388 2082 2578 2776 3867 4164 5156 5552 7734 8328 10312 11104 15468 16656 20624 22208 30936 33312 41248 61872 66624 82496 123744 247488 447283 894566 1341849 1789132 2683698 3578264 5367396 7156528 10734792 14313056 21469584 28626112 42939168 85878336