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86303424 = 26317137193
BaseRepresentation
bin1010010010011…
…10001011000000
320000101200001010
411021032023000
5134043202144
612321440520
72065365324
oct511161300
9200350033
1086303424
1144797049
1224aa0140
1314b5951c
14b667984
15789b5b9
hex524e2c0

86303424 has 112 divisors (see below), whose sum is σ = 244803168. Its totient is φ = 26738688.

The previous prime is 86303423. The next prime is 86303461. The reversal of 86303424 is 42430368.

It is a junction number, because it is equal to n+sod(n) for n = 86303391 and 86303400.

It is not an unprimeable number, because it can be changed into a prime (86303423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447072 + ... + 447264.

Almost surely, 286303424 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 86303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122401584).

86303424 is an abundant number, since it is smaller than the sum of its proper divisors (158499744).

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

86303424 is a wasteful number, since it uses less digits than its factorization.

86303424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 86303424 is about 9289.9636167210. The cubic root of 86303424 is about 441.9190012846.

The spelling of 86303424 in words is "eighty-six million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 137 192 193 204 272 274 386 408 411 544 548 579 772 816 822 1088 1096 1158 1544 1632 1644 2192 2316 2329 3088 3264 3281 3288 4384 4632 4658 6176 6562 6576 6987 8768 9264 9316 9843 12352 13124 13152 13974 18528 18632 19686 26248 26304 26441 27948 37056 37264 39372 52496 52882 55896 74528 78744 79323 104992 105764 111792 149056 157488 158646 209984 211528 223584 314976 317292 423056 447168 449497 629952 634584 846112 898994 1269168 1348491 1692224 1797988 2538336 2696982 3595976 5076672 5393964 7191952 10787928 14383904 21575856 28767808 43151712 86303424