Search a number
-
+
2997792 = 253271487
BaseRepresentation
bin1011011011111000100000
312122022012100
423123320200
51231412132
6144130400
734323630
oct13337040
95568170
102997792
111768316
121006a00
1380c655
145806c0
153e337c
hex2dbe20

2997792 has 72 divisors (see below), whose sum is σ = 9749376. Its totient is φ = 855936.

The previous prime is 2997779. The next prime is 2997811. The reversal of 2997792 is 2977992.

2997792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1273 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

22997792 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 2997792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

2997792 is an abundant number, since it is smaller than the sum of its proper divisors (6751584).

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

2997792 is a wasteful number, since it uses less digits than its factorization.

2997792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1499 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 2997792 is about 1731.4132955479. The cubic root of 2997792 is about 144.1895651571.

The spelling of 2997792 in words is "two million, nine hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1487 2016 2974 4461 5948 8922 10409 11896 13383 17844 20818 23792 26766 31227 35688 41636 47584 53532 62454 71376 83272 93681 107064 124908 142752 166544 187362 214128 249816 333088 374724 428256 499632 749448 999264 1498896 2997792