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885328416 = 253274110711
BaseRepresentation
bin110100110001010…
…000101000100000
32021200220100021100
4310301100220200
53303121002131
6223503354400
730640111260
oct6461205040
92250810240
10885328416
11414821385
122085b2a00
1311155a68b
148581b7a0
1552ace7e6
hex34c50a20

885328416 has 144 divisors (see below), whose sum is σ = 2947771008. Its totient is φ = 246758400.

The previous prime is 885328403. The next prime is 885328421. The reversal of 885328416 is 614823588.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77301 + ... + 88011.

It is an arithmetic number, because the mean of its divisors is an integer number (20470632).

Almost surely, 2885328416 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 885328416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473885504).

885328416 is an abundant number, since it is smaller than the sum of its proper divisors (2062442592).

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

885328416 is a wasteful number, since it uses less digits than its factorization.

885328416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10775 (or 10764 counting only the distinct ones).

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

The square root of 885328416 is about 29754.4688408313. The cubic root of 885328416 is about 960.2142230261.

The spelling of 885328416 in words is "eight hundred eighty-five million, three hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 492 504 574 656 672 738 861 984 1008 1148 1312 1476 1722 1968 2016 2296 2583 2952 3444 3936 4592 5166 5904 6888 9184 10332 10711 11808 13776 20664 21422 27552 32133 41328 42844 64266 74977 82656 85688 96399 128532 149954 171376 192798 224931 257064 299908 342752 385596 439151 449862 514128 599816 674793 771192 878302 899724 1028256 1199632 1317453 1349586 1542384 1756604 1799448 2399264 2634906 2699172 3074057 3084768 3513208 3598896 3952359 5269812 5398344 6148114 7026416 7197792 7904718 9222171 10539624 10796688 12296228 14052832 15809436 18444342 21079248 21593376 24592456 27666513 31618872 36888684 42158496 49184912 55333026 63237744 73777368 98369824 110666052 126475488 147554736 221332104 295109472 442664208 885328416