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4097448 = 233256909
BaseRepresentation
bin1111101000010110101000
321201011122100
433220112220
52022104243
6223453400
746553625
oct17502650
97634570
104097448
112349523
121457260
13b06034
1478934c
1555e0d3
hex3e85a8

4097448 has 24 divisors (see below), whose sum is σ = 11097450. Its totient is φ = 1365792.

The previous prime is 4097447. The next prime is 4097453. The reversal of 4097448 is 8447904.

4097448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3849444 + 248004 = 1962^2 + 498^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×40974482 = 33578160225408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4097441) 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 5 ways as a sum of consecutive naturals, for example, 28383 + ... + 28526.

Almost surely, 24097448 is an apocalyptic number.

It is an amenable number.

4097448 is an abundant number, since it is smaller than the sum of its proper divisors (7000002).

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

4097448 is a wasteful number, since it uses less digits than its factorization.

4097448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56921 (or 56914 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4097448 is about 2024.2154035576. The cubic root of 4097448 is about 160.0188519454.

The spelling of 4097448 in words is "four million, ninety-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 56909 113818 170727 227636 341454 455272 512181 682908 1024362 1365816 2048724 4097448