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88085466 = 23271724159
BaseRepresentation
bin1010100000000…
…01001111011010
320010202012112200
411100001033122
5140022213331
612423551030
72116466640
oct520011732
9203665480
1088085466
11457a3a07
12255bb476
13153316a1
14b9ad190
157aee5e6
hex54013da

88085466 has 144 divisors (see below), whose sum is σ = 241375680. Its totient is φ = 22717440.

The previous prime is 88085461. The next prime is 88085467. The reversal of 88085466 is 66458088.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (88085461) 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 71 ways as a sum of consecutive naturals, for example, 1492945 + ... + 1493003.

It is an arithmetic number, because the mean of its divisors is an integer number (1676220).

Almost surely, 288085466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88085466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120687840).

88085466 is an abundant number, since it is smaller than the sum of its proper divisors (153290214).

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

88085466 is a wasteful number, since it uses less digits than its factorization.

88085466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 88085466 is about 9385.3857672447. The cubic root of 88085466 is about 444.9399674940.

The spelling of 88085466 in words is "eighty-eight million, eighty-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 41 42 51 59 63 82 102 118 119 123 126 153 177 238 246 287 289 306 354 357 369 413 531 574 578 697 714 738 826 861 867 1003 1062 1071 1239 1394 1722 1734 2006 2023 2091 2142 2419 2478 2583 2601 3009 3717 4046 4182 4838 4879 5166 5202 6018 6069 6273 7021 7257 7434 9027 9758 11849 12138 12546 14042 14514 14637 16933 17051 18054 18207 21063 21771 23698 29274 33866 34102 35547 36414 41123 42126 43542 43911 50799 51153 63189 71094 82246 82943 87822 101598 102306 106641 119357 123369 126378 152397 153459 165886 213282 238714 246738 248829 287861 304794 306918 358071 370107 497658 575722 699091 716142 740214 746487 863583 1074213 1398182 1492974 1727166 2097273 2148426 2590749 4194546 4893637 5181498 6291819 9787274 12583638 14680911 29361822 44042733 88085466