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126642496 = 262298641
BaseRepresentation
bin1111000110001…
…10100101000000
322211022002211211
413203012211000
5224410024441
620322215504
73065305051
oct743064500
9284262754
10126642496
1165539422
12364b4594
13203114b6
1412b68728
15b1b8a81
hex78c6940

126642496 has 28 divisors (see below), whose sum is σ = 252432820. Its totient is φ = 63037440.

The previous prime is 126642473. The next prime is 126642499. The reversal of 126642496 is 694246621.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 57153600 + 69488896 = 7560^2 + 8336^2 .

It is a super-2 number, since 2×1266424962 = 32076643586220032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126642499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10336 + ... + 18976.

Almost surely, 2126642496 is an apocalyptic number.

126642496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126642496 is a deficient number, since it is larger than the sum of its proper divisors (125790324).

126642496 is an equidigital number, since it uses as much as digits as its factorization.

126642496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882 (or 8872 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 126642496 is about 11253.5548161459. The cubic root of 126642496 is about 502.1804719284.

The spelling of 126642496 in words is "one hundred twenty-six million, six hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 229 458 916 1832 3664 7328 8641 14656 17282 34564 69128 138256 276512 553024 1978789 3957578 7915156 15830312 31660624 63321248 126642496