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86878374 = 231119292389
BaseRepresentation
bin1010010110110…
…10100010100110
320001110212201120
411023122202212
5134220101444
612342034410
72103311502
oct513324246
9201425646
1086878374
114504a010
1225118a06
1314ccb12b
14b777302
157961b19
hex52da8a6

86878374 has 64 divisors (see below), whose sum is σ = 206496000. Its totient is φ = 24071040.

The previous prime is 86878373. The next prime is 86878387. The reversal of 86878374 is 47387868.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86878373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35172 + ... + 37560.

It is an arithmetic number, because the mean of its divisors is an integer number (3226500).

Almost surely, 286878374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86878374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103248000).

86878374 is an abundant number, since it is smaller than the sum of its proper divisors (119617626).

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

86878374 is a wasteful number, since it uses less digits than its factorization.

86878374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453.

The product of its digits is 1806336, while the sum is 51.

The square root of 86878374 is about 9320.8569348531. The cubic root of 86878374 is about 442.8981790525.

The spelling of 86878374 in words is "eighty-six million, eight hundred seventy-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 11 19 22 29 33 38 57 58 66 87 114 174 209 319 418 551 627 638 957 1102 1254 1653 1914 2389 3306 4778 6061 7167 12122 14334 18183 26279 36366 45391 52558 69281 78837 90782 136173 138562 157674 207843 272346 415686 499301 762091 998602 1316339 1497903 1524182 2286273 2632678 2995806 3949017 4572546 7898034 14479729 28959458 43439187 86878374