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2992128 = 2113487
BaseRepresentation
bin1011011010100000000000
312122000102120
423122200000
51231222003
6144044240
734301256
oct13324000
95560376
102992128
111764037
121003680
13809bb9
1457c5d6
153e1853
hex2da800

2992128 has 48 divisors (see below), whose sum is σ = 7993440. Its totient is φ = 995328.

The previous prime is 2992123. The next prime is 2992141. The reversal of 2992128 is 8212992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2992123) by changing a digit.

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, 5901 + ... + 6387.

It is an arithmetic number, because the mean of its divisors is an integer number (166530).

22992128 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 2992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996720).

2992128 is an abundant number, since it is smaller than the sum of its proper divisors (5001312).

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

2992128 is an equidigital number, since it uses as much as digits as its factorization.

2992128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 492 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 2992128 is about 1729.7768642227. The cubic root of 2992128 is about 144.0986977691.

The spelling of 2992128 in words is "two million, nine hundred ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 487 512 768 974 1024 1461 1536 1948 2048 2922 3072 3896 5844 6144 7792 11688 15584 23376 31168 46752 62336 93504 124672 187008 249344 374016 498688 748032 997376 1496064 2992128