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2821376 = 28103107
BaseRepresentation
bin1010110000110100000000
312022100012102
422300310000
51210241001
6140245532
732660405
oct12606400
95270172
102821376
111657818
12b408a8
1377a26c
145362ac
153aae6b
hex2b0d00

2821376 has 36 divisors (see below), whose sum is σ = 5739552. Its totient is φ = 1383936.

The previous prime is 2821369. The next prime is 2821393. The reversal of 2821376 is 6731282.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26315 + ... + 26421.

It is an arithmetic number, because the mean of its divisors is an integer number (159432).

22821376 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 2821376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869776).

2821376 is an abundant number, since it is smaller than the sum of its proper divisors (2918176).

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

2821376 is a wasteful number, since it uses less digits than its factorization.

2821376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 2821376 is about 1679.6952104474. The cubic root of 2821376 is about 141.3037397000.

It can be divided in two parts, 2821 and 376, that multiplied together give a triangular number (1060696 = T1456).

The spelling of 2821376 in words is "two million, eight hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 103 107 128 206 214 256 412 428 824 856 1648 1712 3296 3424 6592 6848 11021 13184 13696 22042 26368 27392 44084 88168 176336 352672 705344 1410688 2821376