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928066048 = 2971319919
BaseRepresentation
bin110111010100010…
…010101000000000
32101200022122021121
4313110102220000
53400041103143
6232031402024
731666300630
oct6724225000
92350278247
10928066048
11436961838
1221a983314
1311a372310
148b3846c0
15567227ed
hex37512a00

928066048 has 80 divisors (see below), whose sum is σ = 2282353920. Its totient is φ = 367128576.

The previous prime is 928066021. The next prime is 928066099. The reversal of 928066048 is 840660829.

It is a happy number.

It is a super-2 number, since 2×9280660482 = 1722613178900676608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 928065995 and 928066013.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36633 + ... + 56551.

It is an arithmetic number, because the mean of its divisors is an integer number (28529424).

Almost surely, 2928066048 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 928066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141176960).

928066048 is an abundant number, since it is smaller than the sum of its proper divisors (1354287872).

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

928066048 is a wasteful number, since it uses less digits than its factorization.

928066048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19957 (or 19941 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 928066048 is about 30464.1764700771. The cubic root of 928066048 is about 975.4229321849.

The spelling of 928066048 in words is "nine hundred twenty-eight million, sixty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1456 1664 1792 2912 3328 3584 5824 6656 11648 19919 23296 39838 46592 79676 139433 159352 258947 278866 318704 517894 557732 637408 1035788 1115464 1274816 1812629 2071576 2230928 2549632 3625258 4143152 4461856 5099264 7250516 8286304 8923712 10198528 14501032 16572608 17847424 29002064 33145216 35694848 58004128 66290432 71389696 116008256 132580864 232016512 464033024 928066048