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869486688 = 253273311303
BaseRepresentation
bin110011110100110…
…101000001100000
32020121002111111200
4303310311001200
53240042033223
6222140041200
730355341420
oct6364650140
92217074450
10869486688
11406891244
12203233200
1310b1a1b85
1483696480
1551500a43
hex33d35060

869486688 has 144 divisors (see below), whose sum is σ = 2836544256. Its totient is φ = 247484160.

The previous prime is 869486603. The next prime is 869486689. The reversal of 869486688 is 886684968.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869486689) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 666645 + ... + 667947.

It is an arithmetic number, because the mean of its divisors is an integer number (19698224).

Almost surely, 2869486688 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 869486688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418272128).

869486688 is an abundant number, since it is smaller than the sum of its proper divisors (1967057568).

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

869486688 is a wasteful number, since it uses less digits than its factorization.

869486688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1646 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The square root of 869486688 is about 29487.0596703028. The cubic root of 869486688 is about 954.4524836897.

It can be divided in two parts, 86948 and 6688, that added together give a square (93636 = 3062).

The spelling of 869486688 in words is "eight hundred sixty-nine million, four hundred eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 331 336 504 662 672 993 1008 1303 1324 1986 2016 2317 2606 2648 2979 3909 3972 4634 5212 5296 5958 6951 7818 7944 9121 9268 10424 10592 11727 11916 13902 15636 15888 18242 18536 20848 20853 23454 23832 27363 27804 31272 31776 36484 37072 41696 41706 46908 47664 54726 55608 62544 72968 74144 82089 83412 93816 95328 109452 111216 125088 145936 164178 166824 187632 218904 222432 291872 328356 333648 375264 431293 437808 656712 667296 862586 875616 1293879 1313424 1725172 2587758 2626848 3019051 3450344 3881637 5175516 6038102 6900688 7763274 9057153 10351032 12076204 13801376 15526548 18114306 20702064 24152408 27171459 31053096 36228612 41404128 48304816 54342918 62106192 72457224 96609632 108685836 124212384 144914448 217371672 289828896 434743344 869486688