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2049376 = 25721307
BaseRepresentation
bin111110100010101100000
310212010012211
413310111200
51011040001
6111531504
723263600
oct7642540
93763184
102049376
11117a7aa
12829b94
13569a64
143b4c00
152a7351
hex1f4560

2049376 has 36 divisors (see below), whose sum is σ = 4697028. Its totient is φ = 877632.

The previous prime is 2049361. The next prime is 2049407. The reversal of 2049376 is 6739402.

2049376 = T88 + T89 + ... + T234.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 915 + ... + 2221.

It is an arithmetic number, because the mean of its divisors is an integer number (130473).

22049376 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 2049376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348514).

2049376 is an abundant number, since it is smaller than the sum of its proper divisors (2647652).

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

2049376 is a wasteful number, since it uses less digits than its factorization.

2049376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 2049376 is about 1431.5641794904. The cubic root of 2049376 is about 127.0205187258.

The spelling of 2049376 in words is "two million, forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1307 1568 2614 5228 9149 10456 18298 20912 36596 41824 64043 73192 128086 146384 256172 292768 512344 1024688 2049376