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86269392 = 243211107509
BaseRepresentation
bin1010010010001…
…01110111010000
320000022221100200
411021011313100
5134041110032
612321015200
72065164156
oct511056720
9200287320
1086269392
1144773520
1224a84500
1314b46ba1
14b6593d6
15789147c
hex5245dd0

86269392 has 120 divisors (see below), whose sum is σ = 266366880. Its totient is φ = 25847040.

The previous prime is 86269363. The next prime is 86269399. The reversal of 86269392 is 29396268.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86269399) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169234 + ... + 169742.

It is an arithmetic number, because the mean of its divisors is an integer number (2219724).

Almost surely, 286269392 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 86269392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133183440).

86269392 is an abundant number, since it is smaller than the sum of its proper divisors (180097488).

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

86269392 is a wasteful number, since it uses less digits than its factorization.

86269392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 632 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 86269392 is about 9288.1317820108. The cubic root of 86269392 is about 441.8609063910.

The spelling of 86269392 in words is "eighty-six million, two hundred sixty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 107 132 144 176 198 214 264 321 396 428 509 528 642 792 856 963 1018 1177 1284 1527 1584 1712 1926 2036 2354 2568 3054 3531 3852 4072 4581 4708 5136 5599 6108 7062 7704 8144 9162 9416 10593 11198 12216 14124 15408 16797 18324 18832 21186 22396 24432 28248 33594 36648 42372 44792 50391 54463 56496 67188 73296 84744 89584 100782 108926 134376 163389 169488 201564 217852 268752 326778 403128 435704 490167 599093 653556 806256 871408 980334 1198186 1307112 1797279 1960668 2396372 2614224 3594558 3921336 4792744 5391837 7189116 7842672 9585488 10783674 14378232 21567348 28756464 43134696 86269392