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40858048 = 267118291
BaseRepresentation
bin1001101111011…
…1000111000000
32211212210201001
42123313013000
540424424143
64015421344
71004200450
oct233670700
984783631
1040858048
1121077290
1211824854
13860727a
1455d7d60
1538c114d
hex26f71c0

40858048 has 56 divisors (see below), whose sum is σ = 101096064. Its totient is φ = 15916800.

The previous prime is 40858043. The next prime is 40858063. The reversal of 40858048 is 84085804.

40858048 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 (56).

It is a junction number, because it is equal to n+sod(n) for n = 40857998 and 40858016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40858043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 783 + ... + 9073.

Almost surely, 240858048 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 40858048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50548032).

40858048 is an abundant number, since it is smaller than the sum of its proper divisors (60238016).

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

40858048 is a wasteful number, since it uses less digits than its factorization.

40858048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8321 (or 8311 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 40858048 is about 6392.0300374764. The cubic root of 40858048 is about 344.4233115797.

The spelling of 40858048 in words is "forty million, eight hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 8291 16582 33164 58037 66328 91201 116074 132656 182402 232148 265312 364804 464296 530624 638407 729608 928592 1276814 1459216 1857184 2553628 2918432 3714368 5107256 5836864 10214512 20429024 40858048