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2392064 = 21573
BaseRepresentation
bin1001001000000000000000
311111112021222
421020000000
51103021224
6123134212
726221643
oct11100000
94445258
102392064
111394214
12974368
13659a2c
14463a5a
15323b5e
hex248000

2392064 has 32 divisors (see below), whose sum is σ = 4849590. Its totient is φ = 1179648.

The previous prime is 2392057. The next prime is 2392067. The reversal of 2392064 is 4602932.

It can be written as a sum of positive squares in only one way, i.e., 1982464 + 409600 = 1408^2 + 640^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2392067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32732 + ... + 32804.

22392064 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 2392064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424795).

2392064 is an abundant number, since it is smaller than the sum of its proper divisors (2457526).

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

2392064 is an frugal number, since it uses more digits than its factorization.

With its successor (2392065) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (103).

2392064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 2392064 is about 1546.6298846201. The cubic root of 2392064 is about 133.7388542842.

Adding to 2392064 its reverse (4602932), we get a palindrome (6994996).

The spelling of 2392064 in words is "two million, three hundred ninety-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 1024 1168 2048 2336 4096 4672 8192 9344 16384 18688 32768 37376 74752 149504 299008 598016 1196032 2392064