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86782836 = 223753101193
BaseRepresentation
bin1010010110000…
…11001101110100
320001022000200010
411023003031310
5134204022321
612340020220
72102433120
oct513031564
9201260603
1086782836
1144a94258
1225091670
1314c967ba
14b750580
157943676
hex52c3374

86782836 has 96 divisors (see below), whose sum is σ = 239355648. Its totient is φ = 23961600.

The previous prime is 86782831. The next prime is 86782853. The reversal of 86782836 is 63828768.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86782831) 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, 449556 + ... + 449748.

It is an arithmetic number, because the mean of its divisors is an integer number (2493288).

Almost surely, 286782836 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 86782836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119677824).

86782836 is an abundant number, since it is smaller than the sum of its proper divisors (152572812).

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

86782836 is a wasteful number, since it uses less digits than its factorization.

86782836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 86782836 is about 9315.7305671643. The cubic root of 86782836 is about 442.7357714468.

The spelling of 86782836 in words is "eighty-six million, seven hundred eighty-two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 101 106 159 193 202 212 303 318 371 386 404 579 606 636 707 742 772 1113 1158 1212 1351 1414 1484 2121 2226 2316 2702 2828 4053 4242 4452 5353 5404 8106 8484 10229 10706 16059 16212 19493 20458 21412 30687 32118 37471 38986 40916 58479 61374 64236 71603 74942 77972 112413 116958 122748 136451 143206 149884 214809 224826 233916 272902 286412 409353 429618 449652 545804 818706 859236 1033129 1637412 2066258 3099387 4132516 6198774 7231903 12397548 14463806 21695709 28927612 43391418 86782836