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2473072 = 24771311
BaseRepresentation
bin1001011011110001110000
311122122102021
421123301300
51113114242
6125001224
730010060
oct11336160
94578367
102473072
11143a068
129b3214
13687874
144853a0
1533cb67
hex25bc70

2473072 has 40 divisors (see below), whose sum is σ = 5571072. Its totient is φ = 1041600.

The previous prime is 2473067. The next prime is 2473073. The reversal of 2473072 is 2703742.

2473072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24730722 = 12232170234368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2473073) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7797 + ... + 8107.

22473072 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 2473072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785536).

2473072 is an abundant number, since it is smaller than the sum of its proper divisors (3098000).

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

2473072 is a wasteful number, since it uses less digits than its factorization.

2473072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 2473072 is about 1572.6003942515. The cubic root of 2473072 is about 135.2318284599.

The spelling of 2473072 in words is "two million, four hundred seventy-three thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 311 497 568 622 994 1136 1244 1988 2177 2488 3976 4354 4976 7952 8708 17416 22081 34832 44162 88324 154567 176648 309134 353296 618268 1236536 2473072