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2947872 = 25330707
BaseRepresentation
bin1011001111101100100000
312112202201110
423033230200
51223312442
6143103320
734025244
oct13175440
95482643
102947872
111733864
12ba1b40
137c2a05
1456a424
153d369c
hex2cfb20

2947872 has 24 divisors (see below), whose sum is σ = 7738416. Its totient is φ = 982592.

The previous prime is 2947853. The next prime is 2947877. The reversal of 2947872 is 2787492.

2947872 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 (24).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 2947872.

It is not an unprimeable number, because it can be changed into a prime (2947877) 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 3 ways as a sum of consecutive naturals, for example, 15258 + ... + 15449.

It is an arithmetic number, because the mean of its divisors is an integer number (322434).

22947872 is an apocalyptic number.

It is an amenable number.

2947872 is an abundant number, since it is smaller than the sum of its proper divisors (4790544).

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

2947872 is a wasteful number, since it uses less digits than its factorization.

2947872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30720 (or 30712 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 2947872 is about 1716.9368072238. The cubic root of 2947872 is about 143.3847204726.

The spelling of 2947872 in words is "two million, nine hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 30707 61414 92121 122828 184242 245656 368484 491312 736968 982624 1473936 2947872