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86551542 = 23272112811
BaseRepresentation
bin1010010100010…
…10101111110110
320000212021101200
411022022233312
5134124122132
612331033330
72100450600
oct512125766
9200767350
1086551542
1144946500
1224b9b846
1314c1543c
14b6d0170
1578e9d7c
hex528abf6

86551542 has 108 divisors (see below), whose sum is σ = 240075108. Its totient is φ = 22453200.

The previous prime is 86551541. The next prime is 86551579. The reversal of 86551542 is 24515568.

86551542 is a `hidden beast` number, since 8 + 65 + 51 + 542 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 86551497 and 86551506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86551541) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 106317 + ... + 107127.

Almost surely, 286551542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86551542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120037554).

86551542 is an abundant number, since it is smaller than the sum of its proper divisors (153523566).

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

86551542 is a wasteful number, since it uses less digits than its factorization.

86551542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 834 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 86551542 is about 9303.3081213082. The cubic root of 86551542 is about 442.3420943812.

The spelling of 86551542 in words is "eighty-six million, five hundred fifty-one thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 121 126 147 154 198 231 242 294 363 441 462 539 693 726 811 847 882 1078 1089 1386 1617 1622 1694 2178 2433 2541 3234 4851 4866 5082 5677 5929 7299 7623 8921 9702 11354 11858 14598 15246 17031 17787 17842 26763 34062 35574 39739 51093 53361 53526 62447 79478 80289 98131 102186 106722 119217 124894 160578 187341 196262 238434 294393 357651 374682 437129 562023 588786 686917 715302 874258 883179 1124046 1311387 1373834 1766358 2060751 2622774 3934161 4121502 4808419 6182253 7868322 9616838 12364506 14425257 28850514 43275771 86551542