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1426224440 = 235313373413
BaseRepresentation
bin101010100000010…
…0111010100111000
310200101200201010102
41111000213110320
510410103140230
6353304534532
750225464514
oct12500472470
93611621112
101426224440
11672080593
12339781448
131996310b4
14d75bb144
1585325045
hex55027538

1426224440 has 64 divisors (see below), whose sum is σ = 3323324160. Its totient is φ = 550287360.

The previous prime is 1426224439. The next prime is 1426224451. The reversal of 1426224440 is 444226241.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 416174 + ... + 419586.

It is an arithmetic number, because the mean of its divisors is an integer number (51926940).

Almost surely, 21426224440 is an apocalyptic number.

1426224440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661662080).

1426224440 is an abundant number, since it is smaller than the sum of its proper divisors (1897099720).

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

1426224440 is a wasteful number, since it uses less digits than its factorization.

1426224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 1426224440 is about 37765.3867979662. The cubic root of 1426224440 is about 1125.6307744964.

The spelling of 1426224440 in words is "one billion, four hundred twenty-six million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 337 620 674 1240 1348 1685 2696 3370 3413 6740 6826 10447 13480 13652 17065 20894 27304 34130 41788 52235 68260 83576 104470 105803 136520 208940 211606 417880 423212 529015 846424 1058030 1150181 2116060 2300362 4232120 4600724 5750905 9201448 11501810 23003620 35655611 46007240 71311222 142622444 178278055 285244888 356556110 713112220 1426224440