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992528064 = 263211433643
BaseRepresentation
bin111011001010001…
…100011011000000
32120011121122112200
4323022030123000
54013041344224
6242253153200
733411230553
oct7312143300
92504548480
10992528064
1146a290030
1223848b800
1312a822218
1495b6469a
155c2075c9
hex3b28c6c0

992528064 has 168 divisors, whose sum is σ = 3176576832. Its totient is φ = 293690880.

The previous prime is 992527981. The next prime is 992528081. The reversal of 992528064 is 460825299.

It is a super-2 number, since 2×9925280642 = 1970223915655176192, which contains 22 as substring.

It is an unprimeable number.

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, 270627 + ... + 274269.

Almost surely, 2992528064 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 992528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588288416).

992528064 is an abundant number, since it is smaller than the sum of its proper divisors (2184048768).

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

992528064 is a wasteful number, since it uses less digits than its factorization.

992528064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 992528064 is about 31504.4134051088. The cubic root of 992528064 is about 997.5031254731.

The spelling of 992528064 in words is "nine hundred ninety-two million, five hundred twenty-eight thousand, sixty-four".