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126809648 = 2472198513
BaseRepresentation
bin1111000111011…
…11011000110000
322211121121010122
413203233120300
5224430402043
620325545412
73066602300
oct743573060
9284547118
10126809648
1165642a69
1236575268
132036c5c4
1412bad600
15b1ed368
hex78ef630

126809648 has 60 divisors (see below), whose sum is σ = 300884760. Its totient is φ = 51480576.

The previous prime is 126809611. The next prime is 126809651. The reversal of 126809648 is 846908621.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 126809599 and 126809608.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10640 + ... + 19152.

It is an arithmetic number, because the mean of its divisors is an integer number (5014746).

Almost surely, 2126809648 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 126809648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150442380).

126809648 is an abundant number, since it is smaller than the sum of its proper divisors (174075112).

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

126809648 is a wasteful number, since it uses less digits than its factorization.

126809648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8554 (or 8541 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 126809648 is about 11260.9789982932. The cubic root of 126809648 is about 502.4013129302.

The spelling of 126809648 in words is "one hundred twenty-six million, eight hundred nine thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 1064 1862 2128 3724 7448 8513 14896 17026 34052 59591 68104 119182 136208 161747 238364 323494 417137 476728 646988 834274 953456 1132229 1293976 1668548 2264458 2587952 3337096 4528916 6674192 7925603 9057832 15851206 18115664 31702412 63404824 126809648