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2426208 = 253127199
BaseRepresentation
bin1001010000010101100000
311120021010120
421100111200
51110114313
6124000240
726423331
oct11202540
94507116
102426208
111407934
12990080
1366c435
14472288
1532dd23
hex250560

2426208 has 48 divisors (see below), whose sum is σ = 6451200. Its totient is φ = 798336.

The previous prime is 2426183. The next prime is 2426209. The reversal of 2426208 is 8026242.

2426208 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 216 + 42 + 218 + 64 + 221 + 0 + 82 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12093 + ... + 12291.

It is an arithmetic number, because the mean of its divisors is an integer number (134400).

22426208 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 2426208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225600).

2426208 is an abundant number, since it is smaller than the sum of its proper divisors (4024992).

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

2426208 is a wasteful number, since it uses less digits than its factorization.

2426208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2426208 is about 1557.6289673732. The cubic root of 2426208 is about 134.3721739445.

The spelling of 2426208 in words is "two million, four hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 199 254 381 398 508 597 762 796 1016 1194 1524 1592 2032 2388 3048 3184 4064 4776 6096 6368 9552 12192 19104 25273 50546 75819 101092 151638 202184 303276 404368 606552 808736 1213104 2426208