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126642448 = 2419619673
BaseRepresentation
bin1111000110001…
…10100100010000
322211022002210001
413203012210100
5224410024243
620322215344
73065304652
oct743064420
9284262701
10126642448
1165539389
12364b4554
132031147a
1412b686d2
15b1b8a4d
hex78c6910

126642448 has 40 divisors (see below), whose sum is σ = 259085600. Its totient is φ = 59802624.

The previous prime is 126642443. The next prime is 126642457. The reversal of 126642448 is 844246621.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (126642443) 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 7 ways as a sum of consecutive naturals, for example, 187840 + ... + 188512.

It is an arithmetic number, because the mean of its divisors is an integer number (6477140).

Almost surely, 2126642448 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 126642448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129542800).

126642448 is an abundant number, since it is smaller than the sum of its proper divisors (132443152).

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

126642448 is a wasteful number, since it uses less digits than its factorization.

126642448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1313 counting only the distinct ones).

The product of its digits is 73728, while the sum is 37.

The square root of 126642448 is about 11253.5526834862. The cubic root of 126642448 is about 502.1804084830.

The spelling of 126642448 in words is "one hundred twenty-six million, six hundred forty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 619 673 1238 1346 2476 2692 4952 5384 9904 10768 11761 12787 23522 25574 47044 51148 94088 102296 188176 204592 416587 833174 1666348 3332696 6665392 7915153 15830306 31660612 63321224 126642448