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2400893 = 111737347
BaseRepresentation
bin1001001010001001111101
311111222101222
421022021331
51103312033
6123243125
726256455
oct11121175
94458358
102400893
11139a910
129794a5
13660a61
14466d65
15326598
hex24a27d

2400893 has 16 divisors (see below), whose sum is σ = 2856384. Its totient is φ = 1992960.

The previous prime is 2400883. The next prime is 2400907. The reversal of 2400893 is 3980042.

2400893 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2400893 - 210 = 2399869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400833) 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 15 ways as a sum of consecutive naturals, for example, 6746 + ... + 7092.

It is an arithmetic number, because the mean of its divisors is an integer number (178524).

22400893 is an apocalyptic number.

It is an amenable number.

2400893 is a deficient number, since it is larger than the sum of its proper divisors (455491).

2400893 is a wasteful number, since it uses less digits than its factorization.

2400893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2400893 is about 1549.4815261887. The cubic root of 2400893 is about 133.9031936135.

The spelling of 2400893 in words is "two million, four hundred thousand, eight hundred ninety-three".

Divisors: 1 11 17 37 187 347 407 629 3817 5899 6919 12839 64889 141229 218263 2400893