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2049792 = 28317157
BaseRepresentation
bin111110100011100000000
310212010210020
413310130000
51011043132
6111533440
723265033
oct7643400
93763706
102049792
111180048
1282a280
13569cc4
143b501a
152a752c
hex1f4700

2049792 has 72 divisors (see below), whose sum is σ = 5813136. Its totient is φ = 638976.

The previous prime is 2049791. The next prime is 2049797. The reversal of 2049792 is 2979402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12978 + ... + 13134.

It is an arithmetic number, because the mean of its divisors is an integer number (80738).

22049792 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 2049792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906568).

2049792 is an abundant number, since it is smaller than the sum of its proper divisors (3763344).

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

2049792 is a wasteful number, since it uses less digits than its factorization.

2049792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 2049792 is about 1431.7094677343. The cubic root of 2049792 is about 127.0291127174.

The spelling of 2049792 in words is "two million, forty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 157 192 204 256 272 314 384 408 471 544 628 768 816 942 1088 1256 1632 1884 2176 2512 2669 3264 3768 4352 5024 5338 6528 7536 8007 10048 10676 13056 15072 16014 20096 21352 30144 32028 40192 42704 60288 64056 85408 120576 128112 170816 256224 341632 512448 683264 1024896 2049792