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86697312 = 25313127547
BaseRepresentation
bin1010010101011…
…10010101100000
320001010200100120
411022232111200
5134143303222
612334120240
72101625562
oct512562540
9201120316
1086697312
1144a35a79
1225050080
1314c668b0
14b72b332
15792815c
hex52ae560

86697312 has 96 divisors (see below), whose sum is σ = 247468032. Its totient is φ = 26417664.

The previous prime is 86697311. The next prime is 86697349. The reversal of 86697312 is 21379668.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86697311) 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, 158223 + ... + 158769.

It is an arithmetic number, because the mean of its divisors is an integer number (2577792).

Almost surely, 286697312 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 86697312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123734016).

86697312 is an abundant number, since it is smaller than the sum of its proper divisors (160770720).

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

86697312 is a wasteful number, since it uses less digits than its factorization.

86697312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 692 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 86697312 is about 9311.1391354656. The cubic root of 86697312 is about 442.5902857682.

The spelling of 86697312 in words is "eighty-six million, six hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 127 156 208 254 312 381 416 508 547 624 762 1016 1094 1248 1524 1641 1651 2032 2188 3048 3282 3302 4064 4376 4953 6096 6564 6604 7111 8752 9906 12192 13128 13208 14222 17504 19812 21333 26256 26416 28444 39624 42666 52512 52832 56888 69469 79248 85332 113776 138938 158496 170664 208407 227552 277876 341328 416814 555752 682656 833628 903097 1111504 1667256 1806194 2223008 2709291 3334512 3612388 5418582 6669024 7224776 10837164 14449552 21674328 28899104 43348656 86697312