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1042133344 = 25715729633
BaseRepresentation
bin111110000111011…
…011000101100000
32200121221212012021
4332013123011200
54113241231334
6251224311224
734552662430
oct7607330540
92617855167
101042133344
1149529122a
12251012514
13137b9ca65
149c5982c0
15617553b4
hex3e1db160

1042133344 has 48 divisors (see below), whose sum is σ = 2359814688. Its totient is φ = 443768832.

The previous prime is 1042133341. The next prime is 1042133353. The reversal of 1042133344 is 4433312401.

1042133344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042133341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20352 + ... + 49984.

It is an arithmetic number, because the mean of its divisors is an integer number (49162806).

Almost surely, 21042133344 is an apocalyptic number.

1042133344 is a gapful number since it is divisible by the number (14) 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 1042133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179907344).

1042133344 is an abundant number, since it is smaller than the sum of its proper divisors (1317681344).

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

1042133344 is a wasteful number, since it uses less digits than its factorization.

1042133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29807 (or 29799 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 1042133344 is about 32282.0901429880. The cubic root of 1042133344 is about 1013.8516927040.

Adding to 1042133344 its reverse (4433312401), we get a palindrome (5475445745).

The spelling of 1042133344 in words is "one billion, forty-two million, one hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 157 224 314 628 1099 1256 2198 2512 4396 5024 8792 17584 29633 35168 59266 118532 207431 237064 414862 474128 829724 948256 1659448 3318896 4652381 6637792 9304762 18609524 32566667 37219048 65133334 74438096 130266668 148876192 260533336 521066672 1042133344