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126829949 = 3895712
BaseRepresentation
bin1111000111101…
…00010101111101
322211122121222112
413203310111331
5224432024244
620330223405
73100015421
oct743642575
9284577875
10126829949
1165657244
1236584b65
132037890c
1412bb6b81
15b20439e
hex78f457d

126829949 has 6 divisors (see below), whose sum is σ = 127379070. Its totient is φ = 126282360.

The previous prime is 126829943. The next prime is 126829951. The reversal of 126829949 is 949928621.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 94225849 + 32604100 = 9707^2 + 5710^2 .

It is not a de Polignac number, because 126829949 - 220 = 125781373 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 126829897 and 126829906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126829943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 221834 + ... + 222404.

It is an arithmetic number, because the mean of its divisors is an integer number (21229845).

Almost surely, 2126829949 is an apocalyptic number.

It is an amenable number.

126829949 is a deficient number, since it is larger than the sum of its proper divisors (549121).

126829949 is an frugal number, since it uses more digits than its factorization.

126829949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 960 counting only the distinct ones).

The product of its digits is 559872, while the sum is 50.

The square root of 126829949 is about 11261.8803492134. The cubic root of 126829949 is about 502.4281213657.

The spelling of 126829949 in words is "one hundred twenty-six million, eight hundred twenty-nine thousand, nine hundred forty-nine".

Divisors: 1 389 571 222119 326041 126829949