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1052126226 = 233176011907
BaseRepresentation
bin111110101101100…
…010110000010010
32201022202112212000
4332231202300102
54123321014401
6252222414430
735033632254
oct7655426022
92638675760
101052126226
1149a997008
12254431416
13139c8b2c8
149da39cd4
156257b186
hex3eb62c12

1052126226 has 64 divisors (see below), whose sum is σ = 2481010560. Its totient is φ = 329356800.

The previous prime is 1052126213. The next prime is 1052126239. The reversal of 1052126226 is 6226212501.

1052126226 is a `hidden beast` number, since 10 + 5 + 21 + 2 + 622 + 6 = 666.

1052126226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1052126213) and next prime (1052126239).

It is a super-2 number, since 2×10521262262 = 2213939190874006152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1052126226.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550765 + ... + 552671.

It is an arithmetic number, because the mean of its divisors is an integer number (38765790).

Almost surely, 21052126226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052126226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240505280).

1052126226 is an abundant number, since it is smaller than the sum of its proper divisors (1428884334).

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

1052126226 is a wasteful number, since it uses less digits than its factorization.

1052126226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1052126226 is about 32436.4952792376. The cubic root of 1052126226 is about 1017.0819540469.

Adding to 1052126226 its reverse (6226212501), we get a palindrome (7278338727).

The spelling of 1052126226 in words is "one billion, fifty-two million, one hundred twenty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 601 918 1202 1803 1907 3606 3814 5409 5721 10217 10818 11442 16227 17163 20434 30651 32419 32454 34326 51489 61302 64838 91953 97257 102978 183906 194514 275859 291771 551718 583542 875313 1146107 1750626 2292214 3438321 6876642 10314963 19483819 20629926 30944889 38967638 58451457 61889778 116902914 175354371 350708742 526063113 1052126226