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886731328 = 26723471831
BaseRepresentation
bin110100110110100…
…111001001000000
32021210112121201001
4310312213021000
53304000400303
6223553421344
730655043350
oct6466471100
92253477631
10886731328
1141559a40a
12208b6a854
1311192c0c2
1485aa4b60
1552caa31d
hex34da7240

886731328 has 112 divisors (see below), whose sum is σ = 2144231424. Its totient is φ = 355576320.

The previous prime is 886731323. The next prime is 886731341. The reversal of 886731328 is 823137688.

886731328 is a nontrivial binomial coefficient, being equal to C(42113, 2).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (886731323) 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 15 ways as a sum of consecutive naturals, for example, 483373 + ... + 485203.

Almost surely, 2886731328 is an apocalyptic number.

886731328 is the 42112-nd triangular number.

886731328 is the 14038-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 886731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072115712).

886731328 is an abundant number, since it is smaller than the sum of its proper divisors (1257500096).

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

886731328 is a wasteful number, since it uses less digits than its factorization.

886731328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1910 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The square root of 886731328 is about 29778.0343206196. The cubic root of 886731328 is about 960.7211479559.

The spelling of 886731328 in words is "eight hundred eighty-six million, seven hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 47 56 64 92 94 112 161 184 188 224 322 329 368 376 448 644 658 736 752 1081 1288 1316 1472 1504 1831 2162 2576 2632 3008 3662 4324 5152 5264 7324 7567 8648 10304 10528 12817 14648 15134 17296 21056 25634 29296 30268 34592 42113 51268 58592 60536 69184 84226 86057 102536 117184 121072 168452 172114 205072 242144 294791 336904 344228 410144 484288 589582 602399 673808 688456 820288 1179164 1204798 1347616 1376912 1979311 2358328 2409596 2695232 2753824 3958622 4716656 4819192 5507648 7917244 9433312 9638384 13855177 15834488 18866624 19276768 27710354 31668976 38553536 55420708 63337952 110841416 126675904 221682832 443365664 886731328