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880213664 = 25113836529
BaseRepresentation
bin110100011101101…
…111111010100000
32021100021111011002
4310131233322200
53300313314124
6223202011132
730545456411
oct6435577240
92240244132
10880213664
11411948610
12206946aa8
131104895b5
1484c89808
155241e0ae
hex3476fea0

880213664 has 48 divisors (see below), whose sum is σ = 1895685120. Its totient is φ = 398991360.

The previous prime is 880213643. The next prime is 880213669. The reversal of 880213664 is 466312088.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (880213669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131552 + ... + 138080.

It is an arithmetic number, because the mean of its divisors is an integer number (39493440).

Almost surely, 2880213664 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 880213664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947842560).

880213664 is an abundant number, since it is smaller than the sum of its proper divisors (1015471456).

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

880213664 is a wasteful number, since it uses less digits than its factorization.

880213664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6933 (or 6925 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 880213664 is about 29668.3950357952. The cubic root of 880213664 is about 958.3615222525.

The spelling of 880213664 in words is "eight hundred eighty million, two hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 383 766 1532 3064 4213 6128 6529 8426 12256 13058 16852 26116 33704 52232 67408 71819 104464 134816 143638 208928 287276 574552 1149104 2298208 2500607 5001214 10002428 20004856 27506677 40009712 55013354 80019424 110026708 220053416 440106832 880213664