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86883804 = 223271721193
BaseRepresentation
bin1010010110110…
…11110111011100
320001111011011200
411023123313130
5134220240204
612342115500
72103333360
oct513336734
9201434150
1086883804
11450530a7
122511bb90
1315000747
14b7792a0
157963539
hex52dbddc

86883804 has 108 divisors (see below), whose sum is σ = 266854224. Its totient is φ = 23344128.

The previous prime is 86883803. The next prime is 86883869. The reversal of 86883804 is 40838868.

It is a self number, because there is not a number n which added to its sum of digits gives 86883804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86883803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72232 + ... + 73424.

Almost surely, 286883804 is an apocalyptic number.

86883804 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86883804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133427112).

86883804 is an abundant number, since it is smaller than the sum of its proper divisors (179970420).

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

86883804 is a wasteful number, since it uses less digits than its factorization.

86883804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 86883804 is about 9321.1482125326. The cubic root of 86883804 is about 442.9074060784.

The spelling of 86883804 in words is "eighty-six million, eight hundred eighty-three thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 289 306 357 476 578 612 714 867 1071 1156 1193 1428 1734 2023 2142 2386 2601 3468 3579 4046 4284 4772 5202 6069 7158 8092 8351 10404 10737 12138 14316 16702 18207 20281 21474 24276 25053 33404 36414 40562 42948 50106 60843 72828 75159 81124 100212 121686 141967 150318 182529 243372 283934 300636 344777 365058 425901 567868 689554 730116 851802 1034331 1277703 1379108 1703604 2068662 2413439 2555406 3102993 4137324 4826878 5110812 6205986 7240317 9653756 12411972 14480634 21720951 28961268 43441902 86883804