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126049266 = 23272241593
BaseRepresentation
bin1111000001101…
…01101111110010
322210011222002100
413200311233302
5224232034031
620301401230
73060254400
oct740655762
9283158070
10126049266
1165173752
1236269216
1320164485
1412a52470
15b0ecde6
hex7835bf2

126049266 has 72 divisors (see below), whose sum is σ = 319551804. Its totient is φ = 35804160.

The previous prime is 126049229. The next prime is 126049277. The reversal of 126049266 is 662940621.

It can be written as a sum of positive squares in 2 ways, for example, as 121550625 + 4498641 = 11025^2 + 2121^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 126049266.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 212266 + ... + 212858.

Almost surely, 2126049266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126049266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159775902).

126049266 is an abundant number, since it is smaller than the sum of its proper divisors (193502538).

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

126049266 is a wasteful number, since it uses less digits than its factorization.

126049266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 126049266 is about 11227.1664279105. The cubic root of 126049266 is about 501.3951249654.

Adding to 126049266 its reverse (662940621), we get a palindrome (788989887).

The spelling of 126049266 in words is "one hundred twenty-six million, forty-nine thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 241 294 441 482 593 723 882 1186 1446 1687 1779 2169 3374 3558 4151 4338 5061 5337 8302 10122 10674 11809 12453 15183 23618 24906 29057 30366 35427 37359 58114 70854 74718 87171 106281 142913 174342 212562 261513 285826 428739 523026 857478 1000391 1286217 2000782 2572434 3001173 6002346 7002737 9003519 14005474 18007038 21008211 42016422 63024633 126049266