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1053226408 = 2313291372549
BaseRepresentation
bin111110110001101…
…111010110101000
32201101211110000111
4332301233112220
54124111221113
6252302144104
735046163633
oct7661572650
92641743014
101053226408
114a0578653
12254882034
1313a284cc0
149dc44c1a
15626e713d
hex3ec6f5a8

1053226408 has 64 divisors (see below), whose sum is σ = 2216970000. Its totient is φ = 465733632.

The previous prime is 1053226403. The next prime is 1053226439. The reversal of 1053226408 is 8046223501.

It can be written as a sum of positive squares in 8 ways, for example, as 646074724 + 407151684 = 25418^2 + 20178^2 .

It is a super-2 number, since 2×10532264082 = 2218571733017164928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053226408.

It is not an unprimeable number, because it can be changed into a prime (1053226403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411918 + ... + 414466.

Almost surely, 21053226408 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 1053226408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108485000).

1053226408 is an abundant number, since it is smaller than the sum of its proper divisors (1163743592).

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

1053226408 is a wasteful number, since it uses less digits than its factorization.

1053226408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 1053226408 is about 32453.4498628420. The cubic root of 1053226408 is about 1017.4363429117.

Adding to 1053226408 its reverse (8046223501), we get a palindrome (9099449909).

The spelling of 1053226408 in words is "one billion, fifty-three million, two hundred twenty-six thousand, four hundred eight".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 137 232 274 377 548 754 1096 1508 1781 2549 3016 3562 3973 5098 7124 7946 10196 14248 15892 20392 31784 33137 51649 66274 73921 103298 132548 147842 206596 265096 295684 349213 413192 591368 698426 960973 1396852 1921946 2793704 3843892 4539769 7687784 9079538 10127177 18159076 20254354 36318152 40508708 81017416 131653301 263306602 526613204 1053226408