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86687496 = 2334729659
BaseRepresentation
bin1010010101010…
…11111100001000
320001010011220000
411022223330020
5134142444441
612334003000
72101555140
oct512537410
9201104800
1086687496
1144a29665
1225046460
1314c6229c
14b727920
1579252b6
hex52abf08

86687496 has 160 divisors (see below), whose sum is σ = 287496000. Its totient is φ = 23877504.

The previous prime is 86687479. The next prime is 86687509. The reversal of 86687496 is 69478668.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 131215 + ... + 131873.

It is an arithmetic number, because the mean of its divisors is an integer number (1796850).

Almost surely, 286687496 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 86687496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143748000).

86687496 is an abundant number, since it is smaller than the sum of its proper divisors (200808504).

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

86687496 is a wasteful number, since it uses less digits than its factorization.

86687496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 700 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 86687496 is about 9310.6120099594. The cubic root of 86687496 is about 442.5735815586.

The spelling of 86687496 in words is "eighty-six million, six hundred eighty-seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 81 84 87 108 116 126 162 168 174 189 203 216 232 252 261 324 348 378 406 504 522 567 609 648 659 696 756 783 812 1044 1134 1218 1318 1512 1566 1624 1827 1977 2088 2268 2349 2436 2636 3132 3654 3954 4536 4613 4698 4872 5272 5481 5931 6264 7308 7908 9226 9396 10962 11862 13839 14616 15816 16443 17793 18452 18792 19111 21924 23724 27678 32886 35586 36904 38222 41517 43848 47448 53379 55356 57333 65772 71172 76444 83034 106758 110712 114666 124551 131544 133777 142344 152888 166068 171999 213516 229332 249102 267554 332136 343998 373653 401331 427032 458664 498204 515997 535108 687996 747306 802662 996408 1031994 1070216 1203993 1375992 1494612 1547991 1605324 2063988 2407986 2989224 3095982 3210648 3611979 4127976 4815972 6191964 7223958 9631944 10835937 12383928 14447916 21671874 28895832 43343748 86687496