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126466256 = 2472161309
BaseRepresentation
bin1111000100110…
…11100011010000
322210222011002102
413202123203100
5224333410011
620314335532
73063642200
oct742334320
9283864072
10126466256
1165428a74
123642a5a8
132027c207
1412b20400
15b18173b
hex789b8d0

126466256 has 30 divisors (see below), whose sum is σ = 285034770. Its totient is φ = 54199488.

The previous prime is 126466253. The next prime is 126466273. The reversal of 126466256 is 652664621.

It can be written as a sum of positive squares in only one way, i.e., 96040000 + 30426256 = 9800^2 + 5516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126466253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79871 + ... + 81438.

It is an arithmetic number, because the mean of its divisors is an integer number (9501159).

Almost surely, 2126466256 is an apocalyptic number.

126466256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126466256 is an abundant number, since it is smaller than the sum of its proper divisors (158568514).

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

126466256 is a wasteful number, since it uses less digits than its factorization.

126466256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161331 (or 161318 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 126466256 is about 11245.7216753750. The cubic root of 126466256 is about 501.9474133155.

The spelling of 126466256 in words is "one hundred twenty-six million, four hundred sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 161309 322618 645236 1129163 1290472 2258326 2580944 4516652 7904141 9033304 15808282 18066608 31616564 63233128 126466256