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86942352 = 24371731491
BaseRepresentation
bin1010010111010…
…10001010010000
320001121010111010
411023222022100
5134224123402
612343250520
72103666150
oct513521220
9201533433
1086942352
1145093092
1225149a40
13150212a3
14b792760
157975a6c
hex52ea290

86942352 has 160 divisors (see below), whose sum is σ = 281124864. Its totient is φ = 22579200.

The previous prime is 86942351. The next prime is 86942353. The reversal of 86942352 is 25324968.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86942351) and next prime (86942353).

It is a self number, because there is not a number n which added to its sum of digits gives 86942352.

It is not an unprimeable number, because it can be changed into a prime (86942351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176827 + ... + 177317.

Almost surely, 286942352 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 86942352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140562432).

86942352 is an abundant number, since it is smaller than the sum of its proper divisors (194182512).

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

86942352 is a wasteful number, since it uses less digits than its factorization.

86942352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 86942352 is about 9324.2882838316. The cubic root of 86942352 is about 443.0068704168.

The spelling of 86942352 in words is "eighty-six million, nine hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 31 34 42 48 51 56 62 68 84 93 102 112 119 124 136 168 186 204 217 238 248 272 336 357 372 408 434 476 491 496 527 651 714 744 816 868 952 982 1054 1302 1428 1473 1488 1581 1736 1904 1964 2108 2604 2856 2946 3162 3437 3472 3689 3928 4216 5208 5712 5892 6324 6874 7378 7856 8347 8432 10311 10416 11067 11784 12648 13748 14756 15221 16694 20622 22134 23568 25041 25296 27496 29512 30442 33388 41244 44268 45663 50082 54992 58429 59024 60884 66776 82488 88536 91326 100164 106547 116858 121768 133552 164976 175287 177072 182652 200328 213094 233716 243536 258757 319641 350574 365304 400656 426188 467432 517514 639282 701148 730608 776271 852376 934864 1035028 1278564 1402296 1552542 1704752 1811299 2070056 2557128 2804592 3105084 3622598 4140112 5114256 5433897 6210168 7245196 10867794 12420336 14490392 21735588 28980784 43471176 86942352